Alfred J. van der Poorten - Author Profile

Edit Profile

van der Poorten, Alfred J. (b. 1942 d. 2010)

Author ID:	van-der-poorten.alfred-j
Published as:	van der Poorten, A. J.; van der Poorten, Alfred J.; van der Poorten, Alf; van der Poorten, Alf J.; van der Poorten, Alfred; Van der Poorten, Alfred J.; Van der Poorten, A. J. more...less
Homepage:	http://www.maths.mq.edu.au/~alf/
External Links:	MGP · Wikidata · dblp · GND · IdRef

Documents Indexed:	178 Publications since 1967, including 3 Books and 2 Additional arXiv Preprints
	5 Contributions as Editor
Biographic References:	2 Publications
Co-Authors:	73 Co-Authors with 108 Joint Publications
	2,795 Co-Co-Authors

all top 5

Co-Authors

75	single-authored
21	Loxton, John H.
12	Mendès France, Michel
6	Shparlinski, Igor E.
5	Bombieri, Enrico
5	Shallit, Jeffrey Outlaw
5	Williams, Hugh Cowie
3	Allouche, Jean-Paul Simon
3	Dekking, Frederik Michel
3	Everest, Graham Robert
3	Hunt, David C.
3	Mollin, Richard Anthony
3	Patterson, Roger D.
3	Rumely, Robert S.
3	Schlickewei, Hans Peter
3	Tijdeman, Robert
2	Dwork, Bernard Morris
2	Morris, Sidney A.
2	Pintér, Ákos
2	Stein, Andreas
2	te Riele, Herman
2	Vaaler, Jeffrey D.
2	Voorhoeve, Marc
2	Waldschmidt, Michel
2	Ward, Thomas
2	Williams, Kenneth S.
1	Ah-Mah, Teur
1	Banks, William David
1	Beukers, Frits
1	Bézivin, Jean-Paul
1	Borwein, Jonathan Michael
1	Bosma, Wieb
1	Brent, Richard Peirce
1	Brindza, Béla
1	Burger, Edward B.
1	Chapman, Robin J.
1	Coates, John Henry
1	Cox, Chris D.
1	Glass, Jon P.
1	Inkeri, Kustaa
1	Jacobson, Michael John jun.
1	Karpinski, Marek
1	Komatsu, Takao
1	Krantz, Steven George
1	Kuperberg, Gregory John
1	Laohakosol, Vichian
1	Lehmer, Derrick Henry
1	Lipshitz, Leonard
1	Lubiw, Anna
1	Mahler, Kurt
1	Mignotte, Maurice
1	Moore, R. R.
1	Myerson, Gerald Ira
1	Neumann, Bernhard Hermann
1	Pappalardi, Francesco
1	Pethő, Attila
1	Pinner, Christopher G.
1	Puri, Yash
1	Rotkiewicz, Andrzej
1	Saradha, N.
1	Schinzel, Andrzej
1	Shorey, Tarlok Nath
1	Swart, Christine S.
1	Talent, R. C.
1	Thomsen, Kurt
1	Tran, Xuan Chuong
1	Tretkoff, Paula
1	Walsh, Peter Gareth
1	Wiebe, Mark
1	Woeginger, Gerhard
1	Xuan Chuong Tran
1	Yager, Rodney Ian
1	Zimmer, Horst Günter
1	Zudilin, Wadim

all top 5

Serials

17	Bulletin of the Australian Mathematical Society
11	Journal of the Australian Mathematical Society. Series A
9	Acta Arithmetica
5	The Mathematical Intelligencer
5	The Australian Mathematical Society Gazette
4	American Mathematical Monthly
4	Mathematics of Computation
4	Journal of the Australian Mathematical Society
3	Mathematical Proceedings of the Cambridge Philosophical Society
3	Canadian Journal of Mathematics
3	Comptes Rendus Mathématiques de l’Académie des Sciences
3	Journal de Théorie des Nombres de Bordeaux
3	Journal of Integer Sequences
3	Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae
2	Acta Mathematica Academiae Scientiarum Hungaricae
2	Rocky Mountain Journal of Mathematics
2	Bulletin of the London Mathematical Society
2	Duke Mathematical Journal
2	Journal of Number Theory
2	Journal and Proceedings of the Royal Society of New South Wales
2	Journal für die Reine und Angewandte Mathematik
2	Proceedings of the American Mathematical Society
2	Theoretical Computer Science
2	Aequationes Mathematicae
2	L’Enseignement Mathématique. 2e Série
2	Nieuw Archief voor Wiskunde. Vierde Serie
2	Experimental Mathematics
1	Acta Scientiarum Mathematicarum
1	American Journal of Mathematics
1	Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1	Archiv der Mathematik
1	Bulletin de la Société Mathématique de France
1	Canadian Mathematical Bulletin
1	Compositio Mathematica
1	Functiones et Approximatio. Commentarii Mathematici
1	Glasgow Mathematical Journal
1	Illinois Journal of Mathematics
1	Journal of the London Mathematical Society. Second Series
1	Japanese Journal of Mathematics. New Series
1	Mathematica Slovaca
1	Mathematika
1	Monatshefte für Mathematik
1	Pacific Journal of Mathematics
1	Publicationes Mathematicae Debrecen
1	Comptes Rendus de l’Académie des Sciences. Série I
1	Notices of the American Mathematical Society
1	Indagationes Mathematicae. New Series
1	The Ramanujan Journal
1	Australian Mathematical Society Lecture Series
1	Fields Institute Communications
1	Lecture Notes in Computer Science
1	London Mathematical Society Lecture Note Series
1	Mathematics and its Applications (Dordrecht)
1	Mathematical Surveys and Monographs
1	Publications Mathématiques d’Orsay
1	Canadian Mathematical Society Series of Monographs and Advanced Texts

all top 5

Fields

164	Number theory (11-XX)
21	Functions of a complex variable (30-XX)
13	Computer science (68-XX)
10	Algebraic geometry (14-XX)
8	Approximations and expansions (41-XX)
7	General and overarching topics; collections (00-XX)
7	Difference and functional equations (39-XX)
6	Commutative algebra (13-XX)
5	Real functions (26-XX)
4	Combinatorics (05-XX)
4	Special functions (33-XX)
4	Dynamical systems and ergodic theory (37-XX)
3	History and biography (01-XX)
3	Field theory and polynomials (12-XX)
2	Linear and multilinear algebra; matrix theory (15-XX)
2	Group theory and generalizations (20-XX)
2	Topological groups, Lie groups (22-XX)
2	Ordinary differential equations (34-XX)
1	Sequences, series, summability (40-XX)
1	Harmonic analysis on Euclidean spaces (42-XX)
1	Differential geometry (53-XX)
1	General topology (54-XX)
1	Quantum theory (81-XX)
1	Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

175 Publications have been cited 1,456 times in 1,011 Documents	Cited by ▼	Year ▼
Recurrence sequences. Zbl 1033.11006 Everest, Graham; van der Poorten, Alf; Shparlinski, Igor; Ward, Thomas	188	2003
A proof that Euler missed. Apéry’s proof of the irrationality of \(\zeta(3)\). An informal report. Zbl 0409.10028 van der Poorten, Alfred	142	1979
Folds! Zbl 0493.10001 Dekking, Michel; Mendès France, Michel; van der Poorten, Alf	39	1982
Folded continued fractions. Zbl 0753.11005 van der Poorten, A. J.; Shallit, J.	37	1992
Arithmetic properties of certain functions in several variables. III. Zbl 0339.10028 Loxton, J. H.; van der Poorten, A. J.	32	1977
Computer verification of the Ankeny-Artin-Chowla Conjecture for all primes less than \(100 000 000 000\). Zbl 0987.11065 van der Poorten, A. J.; te Riele, H. J. J.; Williams, H. C.	29	2001
Neverending fractions. An introduction to continued fractions. Zbl 1307.11001 Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim	28	2014
Recurrence relations for elliptic sequences: every Somos 4 is a Somos \(k\). Zbl 1169.11013 van der Poorten, Alfred J.; Swart, Christine S.	27	2006
Solution of Pisot’s conjecture on the Hadamard quotient of two rational functions. (Solution de la conjecture de Pisot sur le quotient de Hadamard de deux fractions rationnelles.) Zbl 0635.10007 van der Poorten, Alfred J.	25	1988
Arithmetic and analytic properties of paper folding sequences. Zbl 0451.10018 Mendès France, Michel; van der Poorten, A. J.	21	1981
Folds! III: More morphisms. Zbl 0493.10003 Dekking, Michel; Mendès France, Michel; van der Poorten, Alf	21	1982
A class of hypertranscendental functions. Zbl 0384.10014 Loxton, J. H.; van der Poorten, A. J.	21	1977
Additive relations in fields. Zbl 0747.11017 van der Poorten, A. J.; Schlickewei, H. P.	19	1991
Applications of the Gel’fond-Baker method to Diophantine equations. Zbl 0371.10015 Shorey, T. N.; van der Poorten, A. J.; Tijdeman, R.; Schinzel, Andrzej	19	1977
Some facts that should be better known, especially about rational functions. Zbl 0687.10007 van der Poorten, A. J.	19	1989
An introduction to continued fractions. Zbl 0596.10008 van der Poorten, A. J.	17	1986
Transcendence and algebraic independence by a method of Mahler. Zbl 0378.10020 Loxton, J. H.; van der Poorten, A. J.	17	1977
Arithmetic properties of the solutions of a class of functional equations. Zbl 0468.10019 Loxton, J. H.; van der Poorten, A. J.	16	1982
Algebraic independence properties of the Fredholm series. Zbl 0392.10034 Loxton, J. H.; van der Poorten, A. J.	16	1978
Zeros of recurrence sequences. Zbl 0724.11006 van der Poorten, A. J.; Schlickewei, H. P.	16	1991
Arithmetic properties of automata: regular sequences. Zbl 0656.10033 Loxton, J. H.; van der Poorten, A. J.	16	1988
The Eisenstein constant. Zbl 0770.11051 Dwork, Bernard M.; van der Poorten, Alfred J.	15	1992
Multiplicative relations in number fields. Zbl 0335.10023 van der Poorten, A. J.; Loxton, J. H.	15	1977
Wronskian determinants and the zeros of certain functions. Zbl 0316.30006 Voorhoeve, M.; van der Poorten, A. J.	14	1975
Linear forms in logarithms in the \(p\)-adic case. Zbl 0367.10034 van der Poorten, A. J.	14	1977
A full characterisation of divisibility sequences. Zbl 0716.11008 Bézivin, Jean-Paul; Pethö, Attila; van der Poorten, Alfred J.	14	1990
On the number of zeros of certain functions. Zbl 0316.30005 Voorhoeve, M.; van der Poorten, A. J.; Tijdeman, R.	13	1975
Elliptic curves of conductor 11. Zbl 0475.14031 Agrawal, M. K.; Coates, J. H.; Hunt, D. C.; van der Poorten, A. J.	13	1980
Substitution invariant Beatty sequences. Zbl 0868.11015 Komatsu, Takao; van der Poorten, Alfred J.	12	1996
Some quantitative results related to Roth’s theorem. Zbl 0664.10017 Bombieri, E.; van der Poorten, A. J.	12	1988
Multiplicative dependence in number fields. Zbl 0478.10019 Loxton, J. H.; van der Poorten, A. J.	11	1983
Folds! II: Symmetry disturbed. Zbl 0493.10002 Dekking, Michel; Mendès France, Michel; van der Poorten, Alf	11	1982
Transcendental entire functions mapping every algebraic number field into itself. Zbl 0162.34803 van der Poorten, A. J.	11	1968
Arithmetic properties of certain functions in several variables. II. Zbl 0339.10027 Loxton, J. H.; van der Poorten, A. J.	11	1977
On the number of zeros of functions. Zbl 0364.30005 van der Poorten, A. J.	11	1977
Continued fractions of algebraic numbers. Zbl 0835.11025 Bombieri, Enrico; van der Poorten, Alfred J.	11	1995
Effective measures of irrationality for cubic extensions of number fields. Zbl 0879.11035 Bombieri, E.; van der Poorten, Alfred J.; Vaaler, J. D.	11	1996
Periodic continued fractions in elliptic function fields. Zbl 1058.11050 van der Poorten, Alfred J.; Tran, Xuan Chuong	10	2002
Arithmetic properties of certain functions in several variables. Zbl 0339.10026 Loxton, J. H.; van der Poorten, A. J.	10	1977
Quasi-elliptic integrals and periodic continued fractions. Zbl 0972.11062 van der Poorten, Alfred J.; Xuan Chuong Tran	10	2000
Schneider’s continued fraction. Zbl 0790.11050 van der Poorten, A. J.	10	1993
Some problems concerning recurrence sequences. Zbl 0844.11011 Myerson, G.; van der Poorten, Alfred J.	9	1995
On the growth of recurrence sequences. Zbl 0348.10007 Loxton, J. H.; van der Poorten, A. J.	9	1977
Some determinants that should be better known. Zbl 0343.15002 van der Poorten, A. J.	9	1976
On common zeros of exponential polynomials. Zbl 0308.30006 van der Poorten, A. J.; Tijdeman, R.	8	1975
An infinite product with bounded partial quotients. Zbl 0749.11014 Allouche, J.-P.; Mendès France, M.; van der Poorten, A. J.	8	1991
Elliptic curves and continued fractions. Zbl 1079.11006 van der Poorten, Alfred J.	8	2005
Automata and the arithmetic of formal power series. Zbl 0599.12020 Mendès France, Michel; van der Poorten, A. J.	8	1986
Values of the Dedekind eta function at quadratic irrationalities. Zbl 0936.11026 van der Poorten, Alfred; Williams, Kenneth S.	8	1999
Notes on Fermat’s last theorem. Zbl 0882.11001 van der Poorten, Alfred J.	8	1996
Formal power series and their continued fraction expansion. Zbl 0904.11005 van der Poorten, Alf	8	1998
p-adic methods in the study of Taylor coefficients of rational functions. Zbl 0519.10009 van der Poorten, A. J.	7	1984
Closed subgroups of products of reals. Zbl 0305.22003 Hunt, David C.; Morris, Sidney A.; van der Poorten, Alfred J.	7	1975
On the number of zeros of exponential polynomials and related questions. Zbl 0753.11009 van der Poorten, A. J.; Shparlinskij, I. E.	7	1992
On linear recurrence sequences with polynomial coefficients. Zbl 0862.11011 van der Poorten, Alfred J.; Shparlinski, I. E.	7	1996
Continued fractions of formal power series. Zbl 0804.11043 van der Poorten, A. J.	7	1993
From geometry to Euler identities. Zbl 0682.10026 Mendes France, M.; van der Poorten, A. J.	7	1989
Multi-dimensional generalizations of the Padé table. Zbl 0423.30033 Loxton, J. H.; Van der Poorten, A. J.	6	1979
Hyperelliptic curves, continued fractions, and Somos sequences. Zbl 1221.11015 van der Poorten, Alfred J.	6	2006
Curves of genus 2, continued fractions, and Somos sequences. Zbl 1177.11012 van der Poorten, Alfred J.	6	2005
Continued fraction expansions of values of the exponential function and related functions with continued fractions. Zbl 0862.11044 van der Poorten, Alfred J.	6	1996
Non-periodic continued fractions in hyperelliptic function fields. Zbl 1013.11036 van der Poorten, Alfred J.	6	2001
Zeros of \(p\)-adic exponential polynomials. II. Zbl 0633.12006 van der Poorten, A. J.; Rumely, Robert S.	6	1987
On the thermodynamics of curves and other curlicues. Zbl 0696.10035 Moore, R. R.; van der Poorten, A. J.	6	1989
Integer sequences and periodic points. Zbl 1026.11022 Everest, Graham; van der Poorten, Alf J.; Puri, Yash; Ward, Thomas B.	6	2002
Symmetry and folding of continued fractions. Zbl 1067.11001 van der Poorten, Alfred J.	5	2002
A note on the zeros of exponential polynomials. Zbl 0318.30005 van der Poorten, A. J.	5	1975
Bounds for solutions of systems of linear equations. Zbl 0466.10022 Vaaler, Jeffrey D.; van der Poorten, A. J.	5	1982
A generalization of Turan’s main theorems to binomials and logarithms. Zbl 0192.39501 van der Poorten, A. J.	5	1970
Some problems of recurrent interest. Zbl 0543.10007 van der Poorten, A. J.	5	1984
Computational aspects of NUCOMP. Zbl 1058.11074 Jacobson, Michael J. jun.; van der Poorten, Alfred J.	5	2002
Pseudo-elliptic integrals, units, and torsion. Zbl 1100.11021 Pappalardi, Francesco; van der Poorten, Alfred J.	5	2005
Power series representing algebraic functions. Zbl 0815.11014 van der Poorten, A. J.	5	1993
Factorisation in the ring of exponential polynomials. Zbl 1017.11009 Everest, G. R.; van der Poorten, A. J.	5	1997
On certain continued fraction expansions of fixed period length. Zbl 0926.11005 van der Poorten, A. J.; Williams, H. C.	5	1999
A note on Jacobi symbols and continued fractions. Zbl 0985.11004 van der Poorten, A. J.; Walsh, P. G.	5	1999
Fractions of the period of the continued fraction expansion of quadratic integers. Zbl 0733.11004 van der Poorten, A. J.	5	1991
On algebraic functions satisfying a class of functional equations. Zbl 0339.12002 Loxton, J. H.; van der Poorten, A. J.	5	1976
A note on the Hadamard \(k\)th root of a rational function. Zbl 0635.10008 Rumely, Robert S.; van der Poorten, A. J.	5	1987
A comparative study of algorithms for computing continued fractions of algebraic numbers. Zbl 0899.11065 Brent, Richard P.; te Riele, Herman J. J.; van der Poorten, Alfred J.	5	1996
Notes on continued fractions and recurrence sequences. Zbl 0713.11007 van der Poorten, A. J.	5	1990
Some wonderful formulas…an introduction to polylogarithms. Zbl 0448.10025 van der Poorten, Alfred J.	5	1980
A specialised continued fraction. Zbl 0797.11007 van der Poorten, A. J.; Shallit, J.	5	1993
Periodic continued fractions and elliptic curves. Zbl 1069.11022 van der Poorten, Alfred J.	4	2004
Zeros of p-adic exponential polynomials. Zbl 0318.30006 van der Poorten, A. J.	4	1976
Binary quadratic forms and the eta function. Zbl 1038.11024 Chapman, Robin; van der Poorten, Alfred J.	4	2002
Generalisations of Turán’s main theorems on lower bounds for sums of powers. Zbl 0179.07101 van der Poorten, A. J.	4	1970
Convergents of folded continued fractions. Zbl 0848.11004 Allouche, Jean-Paul; Lubiw, Anna; Mendès France, Michel; van der Poorten, Alfred J.; Shallit, Jeffrey	4	1996
Hermite interpolation and p-adic exponential polynomials. Zbl 0348.12022 van der Poorten, A. J.	4	1976
An awful problem about integers in base four. Zbl 0636.10003 Loxton, J. H.; van der Poorten, A. J.	4	1987
Some explicit continued fraction expansions. Zbl 0708.11011 Mendès France, Michel; van der Poorten, Alfred J.	4	1991
Additive relations in number fields. Zbl 0562.10015 van der Poorten, A. J.	4	1984
A note on NUCOMP. Zbl 1113.11074 van der Poorten, Alfred J.	3	2003
Substitution automata, functional equations and ”functions algebraic over a finite field”. Zbl 0493.10039 van der Poorten, A. J.	3	1982
On the arithmetic nature of definite integrals of rational functions. Zbl 0215.35301 van der Poorten, A. J.	3	1971
Reduction of continued fractions of formal power series. Zbl 1017.11036 van der Poorten, Alfred J.	3	1999
Obituary: Kurt Mahler, 1903–1988. Zbl 0738.01015 van der Poorten, A. J.	3	1991
On strong pseudoprimes in arithmetic progressions. Zbl 0428.10001 van der Poorten, A. J.; Rotkiewicz, A.	3	1980
Computing the effectively computable bound in Baker’s inequality for linear forms in logarithms. Zbl 0324.10012 van der Poorten, A. J.; Loxton, J. H.	3	1976
Propriétés arithmétiques et algébriques de fonctions satisfaisant une classe d’équations fonctionnelles. Zbl 0331.10018 van der Poorten, A. J.	3	1975
Neverending fractions. An introduction to continued fractions. Zbl 1307.11001 Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim	28	2014
A simple observation on simple zeros. Zbl 1298.11106 Pintér, Ákos; van der Poorten, Alf	1	2010
Sequences of Jacobian varieties with torsion divisors of quadratic order. Zbl 1188.11034 Patterson, Roger D.; van der Poorten, Alfred J.; Williams, Hugh C.	2	2008
Algorithmic number theory. 8th international symposium, ANTS-VIII Banff, Canada, May 17–22, 2008 Proceedings. Zbl 1136.11003	1	2008
Characterization of a generalized Shanks sequence. Zbl 1221.11211 Patterson, Roger D.; van der Poorten, Alfred J.; Williams, Hugh C.	3	2007
A curious cubic identity and self-similar sums of squares. Zbl 1158.11313 van der Poorten, Alf; Thomsen, Kurt; Wiebe, Mark	2	2007
Recurrence relations for elliptic sequences: every Somos 4 is a Somos \(k\). Zbl 1169.11013 van der Poorten, Alfred J.; Swart, Christine S.	27	2006
Hyperelliptic curves, continued fractions, and Somos sequences. Zbl 1221.11015 van der Poorten, Alfred J.	6	2006
Determined sequences, continued fractions, and hyperelliptic curves. Zbl 1143.11306 van der Poorten, Alfred J.	1	2006
Exactly one hundred nontrivial composites. Zbl 1210.11012 van der Poorten, Alf	1	2006
Elliptic curves and continued fractions. Zbl 1079.11006 van der Poorten, Alfred J.	8	2005
Curves of genus 2, continued fractions, and Somos sequences. Zbl 1177.11012 van der Poorten, Alfred J.	6	2005
Pseudo-elliptic integrals, units, and torsion. Zbl 1100.11021 Pappalardi, Francesco; van der Poorten, Alfred J.	5	2005
Specialisation and reduction of continued fractions of formal power series. Zbl 1163.11332 van der Poorten, Alfred J.	2	2005
Periodic continued fractions and elliptic curves. Zbl 1069.11022 van der Poorten, Alfred J.	4	2004
High primes and misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams. Selected papers from the international conference on number theory, Banff, AB, Canada, May 24–30, 2003. Zbl 1051.11008	2	2004
Quadratic irrational integers with partly prescribed continued fraction expansion. Zbl 1064.11052 van der Poorten, Alfred J.	2	2004
Jeepers, creepers, \(\ldots\). Zbl 1152.11344 Patterson, Roger D.; van der Poorten, Alfred J.	1	2004
On the twin prime conjecture. Zbl 1129.11302 van der Poorten, Alf; Ah-Mah, Teur	1	2004
Squares from products of integers. Zbl 1129.11309 Banks, William D.; van der Poorten, Alfred J.	1	2004
Recurrence sequences. Zbl 1033.11006 Everest, Graham; van der Poorten, Alf; Shparlinski, Igor; Ward, Thomas	188	2003
A note on NUCOMP. Zbl 1113.11074 van der Poorten, Alfred J.	3	2003
Peer refereeing …will it be missed? Zbl 1045.00008 van der Poorten, Alfred J.	1	2003
Three views of peer review. Zbl 1138.00319 Krantz, Steven G.; Kuperberg, Greg; van der Poorten, Alf	1	2003
Periodic continued fractions in elliptic function fields. Zbl 1058.11050 van der Poorten, Alfred J.; Tran, Xuan Chuong	10	2002
Integer sequences and periodic points. Zbl 1026.11022 Everest, Graham; van der Poorten, Alf J.; Puri, Yash; Ward, Thomas B.	6	2002
Symmetry and folding of continued fractions. Zbl 1067.11001 van der Poorten, Alfred J.	5	2002
Computational aspects of NUCOMP. Zbl 1058.11074 Jacobson, Michael J. jun.; van der Poorten, Alfred J.	5	2002
Binary quadratic forms and the eta function. Zbl 1038.11024 Chapman, Robin; van der Poorten, Alfred J.	4	2002
Squares from products of consecutive integers. Zbl 1053.11022 van der Poorten, Alf; Woeginger, Gerhard	1	2002
Life on the edge. Zbl 1026.40001 van der Poorten, Alf	1	2002
Ideal constructions and irrationality measures of roots of algebraic numbers. Zbl 1040.11052 Cohen, Paula B.; van der Poorten, Alfred J.	1	2002
Computer verification of the Ankeny-Artin-Chowla Conjecture for all primes less than \(100 000 000 000\). Zbl 0987.11065 van der Poorten, A. J.; te Riele, H. J. J.; Williams, H. C.	29	2001
Non-periodic continued fractions in hyperelliptic function fields. Zbl 1013.11036 van der Poorten, Alfred J.	6	2001
A powerful determinant. Zbl 1065.11053 van der Poorten, Alfred J.	2	2001
On number theory and Kustaa Inkeri. Zbl 0962.11002 van der Poorten, Alfred J.	1	2001
Quasi-elliptic integrals and periodic continued fractions. Zbl 0972.11062 van der Poorten, Alfred J.; Xuan Chuong Tran	10	2000
Continued fractions, Jacobi symbols, and quadratic Diophantine equations. Zbl 0973.11010 Mollin, R. A.; van der Poorten, A. J.	2	2000
Zero testing of \(p\)-adic and modular polynomials. Zbl 1012.11111 Karpinski, Marek; van der Poorten, Alf; Shparlinski, Igor	2	2000
On periods of elements from real quadratic number fields. Zbl 0971.11040 Burger, Edward B.; van der Poorten, Alfred J.	2	2000
Values of the Dedekind eta function at quadratic irrationalities. Zbl 0936.11026 van der Poorten, Alfred; Williams, Kenneth S.	8	1999
On certain continued fraction expansions of fixed period length. Zbl 0926.11005 van der Poorten, A. J.; Williams, H. C.	5	1999
A note on Jacobi symbols and continued fractions. Zbl 0985.11004 van der Poorten, A. J.; Walsh, P. G.	5	1999
Reduction of continued fractions of formal power series. Zbl 1017.11036 van der Poorten, Alfred J.	3	1999
On lacunary formal power series and their continued fraction expansion. Zbl 0929.11011 Mendès France, Michel; van der Poorten, Alfred J.; Shallit, Jeffrey	3	1999
On the distribution of solutions of Thue’s equation. Zbl 0934.11014 Brindza, Béla; Pintér, Ákos; van der Poorten, Alfred J.; Waldschmidt, Michel	2	1999
Beer and continued fractions with periodic periods. Zbl 0951.11025 van der Poorten, A. J.	2	1999
Formal power series and their continued fraction expansion. Zbl 0904.11005 van der Poorten, Alf	8	1998
Factorisation in the ring of exponential polynomials. Zbl 1017.11009 Everest, G. R.; van der Poorten, A. J.	5	1997
Substitution invariant Beatty sequences. Zbl 0868.11015 Komatsu, Takao; van der Poorten, Alfred J.	12	1996
Effective measures of irrationality for cubic extensions of number fields. Zbl 0879.11035 Bombieri, E.; van der Poorten, Alfred J.; Vaaler, J. D.	11	1996
Notes on Fermat’s last theorem. Zbl 0882.11001 van der Poorten, Alfred J.	8	1996
On linear recurrence sequences with polynomial coefficients. Zbl 0862.11011 van der Poorten, Alfred J.; Shparlinski, I. E.	7	1996
Continued fraction expansions of values of the exponential function and related functions with continued fractions. Zbl 0862.11044 van der Poorten, Alfred J.	6	1996
A comparative study of algorithms for computing continued fractions of algebraic numbers. Zbl 0899.11065 Brent, Richard P.; te Riele, Herman J. J.; van der Poorten, Alfred J.	5	1996
Convergents of folded continued fractions. Zbl 0848.11004 Allouche, Jean-Paul; Lubiw, Anna; Mendès France, Michel; van der Poorten, Alfred J.; Shallit, Jeffrey	4	1996
A note on Hadamard roots of rational functions. Zbl 0958.11009 van der Poorten, A. J.	1	1996
Continued fractions of algebraic numbers. Zbl 0835.11025 Bombieri, Enrico; van der Poorten, Alfred J.	11	1995
Some problems concerning recurrence sequences. Zbl 0844.11011 Myerson, G.; van der Poorten, Alfred J.	9	1995
Factorisation in fractional powers. Zbl 0818.11011 van der Poorten, A. J.	3	1995
A note on symmetry and ambiguity. Zbl 0824.11003 Mollin, R. A.; van der Poorten, A. J.	3	1995
On sequences of polynomials defined by certain recurrence relations. Zbl 0917.11008 van der Poorten, A. J.; Shparlinski, I. E.	3	1995
Determinants in the study of Thue’s method and curves with prescribed singularities. Zbl 0862.11029 Bombieri, Enrico; Hunt, David C.; van der Poorten, Alfred J.	3	1995
Explicit quadratic reciprocity. Zbl 0917.11014 van der Poorten, A. J.	1	1995
Corrections to “The Eisenstein constant”. Zbl 0813.11064 Dwork, Bernard M.; van der Poorten, Alfred J.	3	1994
Halfway to a solution of \(x^ 2 - Dy^ 2 = -3\). Zbl 0820.11015 Mollin, R. A.; van der Poorten, A. J.; Williams, H. C.	2	1994
Explicit formulas for units in certain quadratic number fields. Zbl 0837.11004 van der Poorten, Alfred J.	2	1994
Remarks on Fermat’s last theorem. Zbl 0830.11015 van der Poorten, Alfred J.	1	1994
Schneider’s continued fraction. Zbl 0790.11050 van der Poorten, A. J.	10	1993
Continued fractions of formal power series. Zbl 0804.11043 van der Poorten, A. J.	7	1993
Power series representing algebraic functions. Zbl 0815.11014 van der Poorten, A. J.	5	1993
A specialised continued fraction. Zbl 0797.11007 van der Poorten, A. J.; Shallit, J.	5	1993
Some infinite products with interesting continued fraction expansions. Zbl 0789.11002 Pinner, C. G.; van der Poorten, A. J.; Saradha, N.	1	1993
Folded continued fractions. Zbl 0753.11005 van der Poorten, A. J.; Shallit, J.	37	1992
The Eisenstein constant. Zbl 0770.11051 Dwork, Bernard M.; van der Poorten, Alfred J.	15	1992
On the number of zeros of exponential polynomials and related questions. Zbl 0753.11009 van der Poorten, A. J.; Shparlinskij, I. E.	7	1992
Additive relations in fields. Zbl 0747.11017 van der Poorten, A. J.; Schlickewei, H. P.	19	1991
Zeros of recurrence sequences. Zbl 0724.11006 van der Poorten, A. J.; Schlickewei, H. P.	16	1991
An infinite product with bounded partial quotients. Zbl 0749.11014 Allouche, J.-P.; Mendès France, M.; van der Poorten, A. J.	8	1991
Fractions of the period of the continued fraction expansion of quadratic integers. Zbl 0733.11004 van der Poorten, A. J.	5	1991
Some explicit continued fraction expansions. Zbl 0708.11011 Mendès France, Michel; van der Poorten, Alfred J.	4	1991
Obituary: Kurt Mahler, 1903–1988. Zbl 0738.01015 van der Poorten, A. J.	3	1991
Dyson’s lemma without tears. Zbl 0734.11039 Beukers, Frits; van der Poorten, Alfred J.; Yager, Rodney I.	2	1991
Generalised simultaneous approximation of functions. Zbl 0747.11028 van der Poorten, A. J.	1	1991
A full characterisation of divisibility sequences. Zbl 0716.11008 Bézivin, Jean-Paul; Pethö, Attila; van der Poorten, Alfred J.	14	1990
Notes on continued fractions and recurrence sequences. Zbl 0713.11007 van der Poorten, A. J.	5	1990
Rational functions, diagonals, automata and arithmetic. Zbl 0694.10008 Lipshitz, Leonard; van der Poorten, Alfred J.	3	1990
Some quantitative results related to Roth’s theorem: Corrigenda. Zbl 0697.10028 Bombieri, E.; van der Poorten, A. J.	2	1990
A divergent argument concerning Hadamard roots of rational functions. Zbl 0723.11010 van der Poorten, A. J.	2	1990
A diophantine problem in harmonic analysis. Zbl 0722.11021 van der Poorten, A. J.; Schlickewei, H. P.	1	1990
Integer-valued p-adic functions. Zbl 0711.11046 Laohakosol, V.; Loxton, J. H.; van der Poorten, A. J.	1	1990
Some facts that should be better known, especially about rational functions. Zbl 0687.10007 van der Poorten, A. J.	19	1989
From geometry to Euler identities. Zbl 0682.10026 Mendes France, M.; van der Poorten, A. J.	7	1989
On the thermodynamics of curves and other curlicues. Zbl 0696.10035 Moore, R. R.; van der Poorten, A. J.	6	1989
Solution of Pisot’s conjecture on the Hadamard quotient of two rational functions. (Solution de la conjecture de Pisot sur le quotient de Hadamard de deux fractions rationnelles.) Zbl 0635.10007 van der Poorten, Alfred J.	25	1988
Arithmetic properties of automata: regular sequences. Zbl 0656.10033 Loxton, J. H.; van der Poorten, A. J.	16	1988
Some quantitative results related to Roth’s theorem. Zbl 0664.10017 Bombieri, E.; van der Poorten, A. J.	12	1988
Indépendance algébrique de certaines séries formelles. (Algebraic independence of certain formal power series). Zbl 0696.10031 Allouche, J.-P.; Mendès-France, M.; van der Poorten, A. J.	3	1988
Kurt Mahler 1903-1988. Zbl 0643.01030 Neumann, B. H.; van der Poorten, Alf	2	1988
Remarks on Roth’s theorem. Zbl 0664.10018 van der Poorten, A. J.	1	1988
...and 75 more Documents

all cited Publications top 5 cited Publications

all top 5

Cited by 1,060 Authors

27	Luca, Florian
24	van der Poorten, Alfred J.
23	Allouche, Jean-Paul Simon
21	Shallit, Jeffrey Outlaw
21	Shparlinski, Igor E.
19	Bell, Jason P.
17	Hone, Andrew N. W.
15	Zeilberger, Doron
14	Bugeaud, Yann
14	Mendès France, Michel
11	Adamczewski, Boris
11	Zudilin, Wadim
10	Chu, Wenchang
10	Sha, Min
9	Dubickas, Artūras
9	Straub, Armin
9	Ward, Thomas
9	Zannier, Umberto M.
8	Bézivin, Jean-Paul
8	Kauers, Manuel
8	Tanaka, Taka-aki
7	Fëdorov, Gleb Vladimirovich
7	Gómez, Carlos Alexis
7	Murru, Nadir
7	Tijdeman, Robert
7	Worrell, James Benjamin
6	Coons, Michael
6	Cusick, Thomas W.
6	Everest, Graham Robert
6	Győry, Kálmán
6	Masser, David William
6	Ouaknine, Joel O.
6	Rivoal, Tanguy
6	Sanna, Carlo
6	Stewart, Cameron L.
6	Williams, Hugh Cowie
5	Borwein, Jonathan Michael
5	Brudnyi, Alexander
5	Bundschuh, Peter
5	Corvaja, Pietro
5	de Weger, Benjamin M. M.
5	Heittokangas, Janne M.
5	Koiran, Pascal
5	Koutschan, Christoph
5	Kovács, Laura Ildikó
5	Laurent, Michel
5	Moree, Pieter
5	Nishioka, Kumiko
5	Rampersad, Narad
5	Schmidt, Wolfgang M.
5	Sun, Zhi-Wei
5	Tachiya, Yohei
5	Väänänen, Keijo O.
5	Waldschmidt, Michel
5	Wen, Zhitao
5	Wen, Zhixiong
4	Amou, Masaaki
4	Badziahin, Dzmitry A.
4	Bennett, Michael A.
4	Beukers, Frits
4	Chen, Shaoshi
4	Dekking, Frederik Michel
4	Dougherty-Bliss, Robert
4	Hajdu, Lajos
4	Illarionov, Andrei A.
4	Jones, Lenny K.
4	Kenison, George
4	Kurosawa, Takeshi
4	Loxton, John H.
4	Marques, Diego
4	Matala-aho, Tapani
4	Mérai, László
4	Ostafe, Alina
4	Scheidler, Renate
4	Schlickewei, Hans Peter
4	Shiokawa, Iekata
4	Tsigaridas, Elias P.
4	Tzanakis, Nikos
4	Ustinov, Alekseĭ Vladimirovich
4	van der Kamp, Peter H.
4	Winterhof, Arne
4	Yu, Kunrui
4	Ziegler, Volker
3	Akshay, S.
3	Barbero, Stefano
3	Bilu, Yuri F.
3	Bravo, Jhon Jairo
3	Byszewski, Jakub
3	Chamberland, Marc
3	Dilcher, Karl
3	Dumas, Philippe
3	Duverney, Daniel
3	Evertse, Jan-Hendrik
3	Faverjon, Colin
3	Gezer, Betúl
3	Goč, Daniel
3	Guo, Ji
3	Hessami Pilehrood, Khodabakhsh
3	Hessami Pilehrood, Tatiana
3	Ide, Haruki
...and 960 more Authors

all top 5

Cited in 240 Serials

109	Journal of Number Theory
30	Theoretical Computer Science
24	Journal de Théorie des Nombres de Bordeaux
23	Mathematics of Computation
19	The Ramanujan Journal
18	Monatshefte für Mathematik
16	Bulletin of the Australian Mathematical Society
16	Proceedings of the American Mathematical Society
16	International Journal of Number Theory
14	Rocky Mountain Journal of Mathematics
14	Compositio Mathematica
14	Transactions of the American Mathematical Society
13	Israel Journal of Mathematics
13	Acta Arithmetica
13	Advances in Applied Mathematics
12	Indagationes Mathematicae. New Series
12	Integers
10	Journal of Mathematical Analysis and Applications
10	Inventiones Mathematicae
10	Journal of the Australian Mathematical Society
9	Mathematical Notes
9	Bulletin de la Société Mathématique de France
9	Mathematische Annalen
9	Journal of Symbolic Computation
9	Journal of Integer Sequences
8	Annales de l’Institut Fourier
8	Journal of Algebra
8	European Journal of Combinatorics
8	Linear Algebra and its Applications
8	Journal of Difference Equations and Applications
7	American Mathematical Monthly
7	Discrete Mathematics
7	The Mathematical Intelligencer
7	Advances in Mathematics
7	Duke Mathematical Journal
7	Journal of Computational and Applied Mathematics
7	Mathematische Zeitschrift
7	Results in Mathematics
7	Finite Fields and their Applications
6	Bulletin of the London Mathematical Society
6	Functiones et Approximatio. Commentarii Mathematici
6	Manuscripta Mathematica
6	Acta Mathematica Hungarica
6	Research in Number Theory
5	Acta Mathematica Academiae Scientiarum Hungaricae
5	Discrete Applied Mathematics
5	Acta Mathematica
5	Journal of Approximation Theory
5	Proceedings of the London Mathematical Society. Third Series
5	Aequationes Mathematicae
5	Experimental Mathematics
5	Comptes Rendus. Mathématique. Académie des Sciences, Paris
4	Information Processing Letters
4	Journal of Mathematical Physics
4	Mathematical Proceedings of the Cambridge Philosophical Society
4	Archiv der Mathematik
4	Canadian Journal of Mathematics
4	Journal of Combinatorial Theory. Series A
4	Journal of Differential Equations
4	Journal of Pure and Applied Algebra
4	Tokyo Journal of Mathematics
4	Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
4	Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
4	Logical Methods in Computer Science
3	Houston Journal of Mathematics
3	Lithuanian Mathematical Journal
3	Canadian Mathematical Bulletin
3	Glasgow Mathematical Journal
3	Journal für die Reine und Angewandte Mathematik
3	Mathematica Slovaca
3	Proceedings of the Edinburgh Mathematical Society. Series II
3	Quaestiones Mathematicae
3	Ergodic Theory and Dynamical Systems
3	Bulletin of the Korean Mathematical Society
3	Constructive Approximation
3	Bulletin of the American Mathematical Society. New Series
3	Expositiones Mathematicae
3	Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3	Journal of Mathematical Sciences (New York)
3	Selecta Mathematica. New Series
3	Documenta Mathematica
3	Qualitative Theory of Dynamical Systems
3	\(p\)-Adic Numbers, Ultrametric Analysis, and Applications
3	RAIRO. Theoretical Informatics and Applications
2	Journal d’Analyse Mathématique
2	Journal of Statistical Physics
2	The Mathematical Gazette
2	Nonlinearity
2	Periodica Mathematica Hungarica
2	Physics Letters. A
2	Problems of Information Transmission
2	Ukrainian Mathematical Journal
2	Chaos, Solitons and Fractals
2	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2	Czechoslovak Mathematical Journal
2	Geometriae Dedicata
2	Information Sciences
2	Journal of the London Mathematical Society. Second Series
2	Journal of Soviet Mathematics
2	Mathematika
...and 140 more Serials

all top 5

Cited in 53 Fields

771	Number theory (11-XX)
140	Computer science (68-XX)
82	Special functions (33-XX)
74	Combinatorics (05-XX)
63	Dynamical systems and ergodic theory (37-XX)
62	Algebraic geometry (14-XX)
50	Functions of a complex variable (30-XX)
46	Field theory and polynomials (12-XX)
38	Difference and functional equations (39-XX)
33	Commutative algebra (13-XX)
30	Mathematical logic and foundations (03-XX)
28	Approximations and expansions (41-XX)
22	Information and communication theory, circuits (94-XX)
21	Ordinary differential equations (34-XX)
18	Group theory and generalizations (20-XX)
18	Numerical analysis (65-XX)
14	Several complex variables and analytic spaces (32-XX)
13	Associative rings and algebras (16-XX)
12	Linear and multilinear algebra; matrix theory (15-XX)
12	Real functions (26-XX)
12	Harmonic analysis on Euclidean spaces (42-XX)
11	Measure and integration (28-XX)
10	Sequences, series, summability (40-XX)
9	Topological groups, Lie groups (22-XX)
8	History and biography (01-XX)
8	Probability theory and stochastic processes (60-XX)
6	Quantum theory (81-XX)
5	Order, lattices, ordered algebraic structures (06-XX)
5	Category theory; homological algebra (18-XX)
5	Convex and discrete geometry (52-XX)
4	General and overarching topics; collections (00-XX)
4	Partial differential equations (35-XX)
4	Abstract harmonic analysis (43-XX)
4	General topology (54-XX)
4	Algebraic topology (55-XX)
4	Statistical mechanics, structure of matter (82-XX)
3	Nonassociative rings and algebras (17-XX)
3	Functional analysis (46-XX)
3	Operator theory (47-XX)
3	Manifolds and cell complexes (57-XX)
3	Systems theory; control (93-XX)
2	Integral transforms, operational calculus (44-XX)
2	Geometry (51-XX)
2	Global analysis, analysis on manifolds (58-XX)
2	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2	Mathematics education (97-XX)
1	General algebraic systems (08-XX)
1	Differential geometry (53-XX)
1	Statistics (62-XX)
1	Mechanics of particles and systems (70-XX)
1	Fluid mechanics (76-XX)
1	Optics, electromagnetic theory (78-XX)
1	Classical thermodynamics, heat transfer (80-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.