Peter Stevenhagen - Author Profile

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Stevenhagen, Peter

Author ID:	stevenhagen.peter
Published as:	Stevenhagen, Peter; Stevenhagen, P.
External Links:	Wikidata · IdRef · theses.fr
Videos:	carmin.tv

Documents Indexed:	46 Publications since 1987, including 2 Additional arXiv Preprints
	2 Contributions as Editor
Reviewing Activity:	6 Reviews
Co-Authors:	15 Co-Authors with 29 Joint Publications
	602 Co-Co-Authors

all top 5

Co-Authors

19	single-authored
7	Lenstra, Hendrik W. jun.
5	Bröker, Reinier
5	Moree, Pieter
3	Bosma, Wieb
2	Angelakis, Athanasios
2	Buhler, Joe P.
1	Campagna, Francesco
1	Cohen, Henri
1	Cox, David A.
1	Gee, Alice
1	Howe, Everett W.
1	Lauter, Kristin Estella
1	McKay, John
1	Pappalardi, Francesco
1	Streng, Marco

all top 5

Serials

4	Acta Arithmetica
4	Journal de Théorie des Nombres de Bordeaux
3	Mathematics of Computation
2	Mathematical Proceedings of the Cambridge Philosophical Society
2	Journal of Number Theory
2	Nieuw Archief voor Wiskunde. Vijfde Serie
2	Mathematical Sciences Research Institute Publications
1	The Mathematical Intelligencer
1	Archiv der Mathematik
1	Bulletin of the London Mathematical Society
1	Indagationes Mathematicae
1	Journal of Algebra
1	Transactions of the American Mathematical Society
1	L’Enseignement Mathématique. 2e Série
1	Bulletin of the American Mathematical Society. New Series
1	Experimental Mathematics
1	LMS Journal of Computation and Mathematics
1	Research in Number Theory

all top 5

Fields

45	Number theory (11-XX)
6	Algebraic geometry (14-XX)
3	General and overarching topics; collections (00-XX)
3	History and biography (01-XX)
2	Commutative algebra (13-XX)
2	Information and communication theory, circuits (94-XX)
1	Field theory and polynomials (12-XX)
1	Group theory and generalizations (20-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

37 Publications have been cited 418 times in 349 Documents	Cited by ▼	Year ▼
Chebotarëv and his density theorem. Zbl 0885.11005 Stevenhagen, P.; Lenstra, H. W. jun.	83	1996
Hilbert’s 12th problem, complex multiplication and Shimura reciprocity. Zbl 1097.11535 Stevenhagen, Peter	34	2001
Character sums for primitive root densities. Zbl 1353.11104 Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P.	22	2014
The number of real quadratic fields having units of negative norm. Zbl 0792.11041 Stevenhagen, Peter	21	1993
On the computation of quadratic 2-class groups. Zbl 0870.11080 Bosma, Wieb; Stevenhagen, Peter	18	1996
Algorithmic number theory. Lattices, number fields, curves and cryptography. Zbl 1154.11002	17	2008
Generating class fields using Shimura reciprocity. Zbl 0912.11045 Gee, Alice; Stevenhagen, Peter	16	1998
A two-variable Artin conjecture. Zbl 0966.11042 Moree, Pieter; Stevenhagen, Peter	15	2000
Class number parity for the \(p\)th cyclotomic field. Zbl 0819.11050 Stevenhagen, Peter	14	1994
The correction factor in Artin’s primitive root conjecture. Zbl 1043.11078 Stevenhagen, Peter	13	2003
Divisibility by 2-powers of certain quadratic class numbers. Zbl 0767.11054 Stevenhagen, Peter	13	1993
Genus-2 curves and Jacobians with a given number of points. Zbl 1387.14086 Bröker, Reinier; Howe, Everett W.; Lauter, Kristin E.; Stevenhagen, Peter	12	2015
The arithmetic of number rings. Zbl 1216.11099 Stevenhagen, Peter	11	2008
Constructing elliptic curves of prime order. Zbl 1162.11028 Bröker, Reinier; Stevenhagen, Peter	11	2008
Abelian varieties with prescribed embedding degree. Zbl 1209.11056 Freeman, David; Stevenhagen, Peter; Streng, Marco	9	2008
Imaginary quadratic fields with isomorphic abelian Galois groups. Zbl 1344.11072 Angelakis, Athanasios; Stevenhagen, Peter	8	2013
Principal moduli and class fields. Zbl 1047.11107 Cox, David; McKay, John; Stevenhagen, Peter	8	2004
A density conjecture for the negative Pell equation. Zbl 0838.11066 Stevenhagen, Peter	8	1995
On a problem of Eisenstein. Zbl 0851.11058 Stevenhagen, Peter	8	1996
Efficient CM-constructions of elliptic curves over finite fields. Zbl 1127.14022 Bröker, Reinier; Stevenhagen, Peter	8	2007
Prime divisors of Lucas sequences. Zbl 0913.11048 Moree, Pieter; Stevenhagen, Peter	8	1997
Rédei-matrices and applications. Zbl 0830.11039 Stevenhagen, Peter	7	1995
On Aurifeuillian factorizations. Zbl 0635.10010 Stevenhagen, Peter	7	1987
Ray class groups and governing fields. (Thesis). Zbl 0701.11056 Stevenhagen, Peter	6	1989
Prime divisors of the Lagarias sequence. Zbl 1064.11013 Moree, Pieter; Stevenhagen, Peter	5	2001
Primes of degree one and algebraic cases of Čebotarev’s theorem. Zbl 0744.11056 Lenstra, H. W. jun.; Stevenhagen, P.	5	1991
Computational class field theory. Zbl 1177.11095 Cohen, Henri; Stevenhagen, Peter	5	2008
Density computations for real quadratic units. Zbl 0859.11064 Bosma, Wieb; Stevenhagen, Peter	5	1996
Computing higher rank primitive root densities. Zbl 1353.11105 Moree, P.; Stevenhagen, P.	4	2014
Elliptic curves with a given number of points. Zbl 1207.11065 Bröker, Reinier; Stevenhagen, Peter	4	2004
Artin reciprocity and Mersenne primes. Zbl 1011.11006 Lenstra, H. W. jun.; Stevenhagen, P.	3	2000
Redei reciprocity, governing fields and negative Pell. Zbl 1514.11073 Stevenhagen, Peter	3	2022
Algorithmic number theory. Lattices, number fields, curves and cryptography. Reprint of the 2008 hardback ed. Zbl 1219.11002	2	2011
Class field theory and the first case of Fermat’s last theorem. Zbl 0891.11012 Lenstra, H. W. jun.; Stevenhagen, P.	2	1997
Unramified class field theory for orders. Zbl 0672.12005 Stevenhagen, Peter	1	1989
The number field sieve. Zbl 1188.11066 Stevenhagen, Peter	1	2008
Density computations for real quadratic 2-class groups. (Abstract). Zbl 1071.11519 Bosma, Wieb; Stevenhagen, Peter	1	1994
Redei reciprocity, governing fields and negative Pell. Zbl 1514.11073 Stevenhagen, Peter	3	2022
Genus-2 curves and Jacobians with a given number of points. Zbl 1387.14086 Bröker, Reinier; Howe, Everett W.; Lauter, Kristin E.; Stevenhagen, Peter	12	2015
Character sums for primitive root densities. Zbl 1353.11104 Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P.	22	2014
Computing higher rank primitive root densities. Zbl 1353.11105 Moree, P.; Stevenhagen, P.	4	2014
Imaginary quadratic fields with isomorphic abelian Galois groups. Zbl 1344.11072 Angelakis, Athanasios; Stevenhagen, Peter	8	2013
Algorithmic number theory. Lattices, number fields, curves and cryptography. Reprint of the 2008 hardback ed. Zbl 1219.11002	2	2011
Algorithmic number theory. Lattices, number fields, curves and cryptography. Zbl 1154.11002	17	2008
The arithmetic of number rings. Zbl 1216.11099 Stevenhagen, Peter	11	2008
Constructing elliptic curves of prime order. Zbl 1162.11028 Bröker, Reinier; Stevenhagen, Peter	11	2008
Abelian varieties with prescribed embedding degree. Zbl 1209.11056 Freeman, David; Stevenhagen, Peter; Streng, Marco	9	2008
Computational class field theory. Zbl 1177.11095 Cohen, Henri; Stevenhagen, Peter	5	2008
The number field sieve. Zbl 1188.11066 Stevenhagen, Peter	1	2008
Efficient CM-constructions of elliptic curves over finite fields. Zbl 1127.14022 Bröker, Reinier; Stevenhagen, Peter	8	2007
Principal moduli and class fields. Zbl 1047.11107 Cox, David; McKay, John; Stevenhagen, Peter	8	2004
Elliptic curves with a given number of points. Zbl 1207.11065 Bröker, Reinier; Stevenhagen, Peter	4	2004
The correction factor in Artin’s primitive root conjecture. Zbl 1043.11078 Stevenhagen, Peter	13	2003
Hilbert’s 12th problem, complex multiplication and Shimura reciprocity. Zbl 1097.11535 Stevenhagen, Peter	34	2001
Prime divisors of the Lagarias sequence. Zbl 1064.11013 Moree, Pieter; Stevenhagen, Peter	5	2001
A two-variable Artin conjecture. Zbl 0966.11042 Moree, Pieter; Stevenhagen, Peter	15	2000
Artin reciprocity and Mersenne primes. Zbl 1011.11006 Lenstra, H. W. jun.; Stevenhagen, P.	3	2000
Generating class fields using Shimura reciprocity. Zbl 0912.11045 Gee, Alice; Stevenhagen, Peter	16	1998
Prime divisors of Lucas sequences. Zbl 0913.11048 Moree, Pieter; Stevenhagen, Peter	8	1997
Class field theory and the first case of Fermat’s last theorem. Zbl 0891.11012 Lenstra, H. W. jun.; Stevenhagen, P.	2	1997
Chebotarëv and his density theorem. Zbl 0885.11005 Stevenhagen, P.; Lenstra, H. W. jun.	83	1996
On the computation of quadratic 2-class groups. Zbl 0870.11080 Bosma, Wieb; Stevenhagen, Peter	18	1996
On a problem of Eisenstein. Zbl 0851.11058 Stevenhagen, Peter	8	1996
Density computations for real quadratic units. Zbl 0859.11064 Bosma, Wieb; Stevenhagen, Peter	5	1996
A density conjecture for the negative Pell equation. Zbl 0838.11066 Stevenhagen, Peter	8	1995
Rédei-matrices and applications. Zbl 0830.11039 Stevenhagen, Peter	7	1995
Class number parity for the \(p\)th cyclotomic field. Zbl 0819.11050 Stevenhagen, Peter	14	1994
Density computations for real quadratic 2-class groups. (Abstract). Zbl 1071.11519 Bosma, Wieb; Stevenhagen, Peter	1	1994
The number of real quadratic fields having units of negative norm. Zbl 0792.11041 Stevenhagen, Peter	21	1993
Divisibility by 2-powers of certain quadratic class numbers. Zbl 0767.11054 Stevenhagen, Peter	13	1993
Primes of degree one and algebraic cases of Čebotarev’s theorem. Zbl 0744.11056 Lenstra, H. W. jun.; Stevenhagen, P.	5	1991
Ray class groups and governing fields. (Thesis). Zbl 0701.11056 Stevenhagen, Peter	6	1989
Unramified class field theory for orders. Zbl 0672.12005 Stevenhagen, Peter	1	1989
On Aurifeuillian factorizations. Zbl 0635.10010 Stevenhagen, Peter	7	1987

all cited Publications top 5 cited Publications

all top 5

Cited by 478 Authors

13	Stevenhagen, Peter
12	Jung, Ho Yun
12	Shin, Dong Hwa
11	Koo, Jakyung
11	Moree, Pieter
9	Ichimura, Humio
7	Koymans, Peter
6	Bernstein, Daniel Julius
6	Bröker, Reinier
6	Castryck, Wouter
6	Yoon, Dong Sung
5	Järviniemi, Olli
5	Lauter, Kristin Estella
5	Milovic, Djordjo Z.
5	Pagano, Carlo
5	Sanna, Carlo
4	Cornelissen, Gunther
4	Enge, Andreas
4	Fujima, Shoichi
4	Jorgenson, Jay Alan
4	Pfander, Götz E.
4	Smajlović, Lejla
4	Sutherland, Andrew V.
4	Vercauteren, Frederik
3	Clark, Peter Louis
3	Dummit, David S.
3	Felix, Adam Tyler
3	Gras, Georges
3	Kim, Chang Heon
3	Kontogeorgis, Aristides I.
3	Krahmer, Felix
3	Lange, Tanja
3	Lee, Dae Gwan
3	Lenstra, Hendrik W. jun.
3	Li, Xin
3	Mixon, Dustin G.
3	Mizuno, Yoshinori
3	Murty, Maruti Ram
3	Panny, Lorenz
3	Pappalardi, Francesco
3	Pollack, Paul
3	Shaska, Tanush
3	Silverberg, Alice
3	Smit, Harry
3	Then, Holger
3	Top, Jaap
3	Voight, John Michael
3	Wesolowski, Benjamin
2	Akbary, Amir
2	Bandeira, Afonso S.
2	Belabas, Karim
2	Bosma, Wieb
2	Breuer, Florian
2	Campagna, Francesco
2	Chamizo Lorente, Fernando
2	Chan, Heng Huat
2	Chan, Stephanie
2	Chattopadhyay, Jaitra
2	Decru, Thomas
2	Dryło, Robert
2	Evink, Tim
2	Fernández-Ferreirós, Pilar
2	Garcia, Stephan Ramon
2	Gómez-Molleda, Maria de los Ángeles
2	Guralnick, Robert Michael
2	Houben, Marc
2	Howe, Everett W.
2	Hurley, Ted
2	Jacobson, Michael John jun.
2	Jedrzejak, Tomasz
2	Karemaker, Valentijn
2	Konstantinou, Elisavet
2	Kutyniok, Gitta
2	Lemmermeyer, Franz Josef
2	Lemvig, Jakob
2	Lorenzo García, Elisa
2	Lozano-Robledo, Álvaro
2	Luca, Florian
2	Malmendier, Andreas
2	Marcolli, Matilde
2	Martindale, Chloe
2	Meshulam, Roy
2	Morain, François
2	Peters, Christiane
2	Saikia, Anupam
2	Sha, Min
2	Shparlinski, Igor E.
2	Simon, Denis
2	Sotáková, Jana
2	Streng, Marco
2	Susa, Andrea
2	Varma, Ila
2	Walnut, David F.
2	Watson, Lori D.
2	Xiang, Qing
2	Xue, Jiangwei
2	Ye, Dongxi
2	Yu, Chia-Fu
2	Yue, Qin
1	Abdullah, Herish Omer
...and 378 more Authors

all top 5

Cited in 127 Serials

31	Journal of Number Theory
20	Mathematics of Computation
13	Journal de Théorie des Nombres de Bordeaux
11	International Journal of Number Theory
11	Research in Number Theory
9	The Ramanujan Journal
8	Acta Arithmetica
6	Transactions of the American Mathematical Society
6	Finite Fields and their Applications
5	Mathematical Proceedings of the Cambridge Philosophical Society
5	Advances in Mathematics
5	Journal of the London Mathematical Society. Second Series
4	Functiones et Approximatio. Commentarii Mathematici
4	Proceedings of the American Mathematical Society
3	Bulletin of the Australian Mathematical Society
3	Journal of Mathematical Analysis and Applications
3	Archiv der Mathematik
3	Compositio Mathematica
3	Journal of Algebra
3	Mathematische Annalen
3	Mathematische Zeitschrift
3	Mathematika
3	Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3	Experimental Mathematics
3	Journal of Algebraic Combinatorics
3	The Journal of Fourier Analysis and Applications
3	Mathematical Journal of Ibaraki University
3	Algebra & Number Theory
3	Science China. Mathematics
2	Computers & Mathematics with Applications
2	Israel Journal of Mathematics
2	Journal of Mathematical Physics
2	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2	Indiana University Mathematics Journal
2	Journal of the Korean Mathematical Society
2	Nagoya Mathematical Journal
2	Proceedings of the Japan Academy. Series A
2	Publications of the Research Institute for Mathematical Sciences, Kyoto University
2	Results in Mathematics
2	Journal of Cryptology
2	Journal of the Ramanujan Mathematical Society
2	Designs, Codes and Cryptography
2	Linear Algebra and its Applications
2	Journal of Mathematical Sciences (New York)
2	The New York Journal of Mathematics
2	Documenta Mathematica
2	LMS Journal of Computation and Mathematics
2	Journal of High Energy Physics
2	Integers
2	Foundations of Computational Mathematics
2	Journal of Physics A: Mathematical and Theoretical
2	East Asian Mathematical Journal
2	Open Mathematics
1	Discrete Applied Mathematics
1	Discrete Mathematics
1	Inverse Problems
1	Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1	Mathematical Notes
1	Periodica Mathematica Hungarica
1	Rocky Mountain Journal of Mathematics
1	ACM Transactions on Mathematical Software
1	Annales de l’Institut Fourier
1	Bulletin of the London Mathematical Society
1	Canadian Journal of Mathematics
1	Commentationes Mathematicae Universitatis Carolinae
1	Czechoslovak Mathematical Journal
1	Glasgow Mathematical Journal
1	Journal of Pure and Applied Algebra
1	Journal für die Reine und Angewandte Mathematik
1	Kodai Mathematical Journal
1	Kyungpook Mathematical Journal
1	Manuscripta Mathematica
1	Osaka Journal of Mathematics
1	Pacific Journal of Mathematics
1	Proceedings of the London Mathematical Society. Third Series
1	Quaestiones Mathematicae
1	Theoretical Computer Science
1	Tôhoku Mathematical Journal. Second Series
1	Tokyo Journal of Mathematics
1	European Journal of Combinatorics
1	Graphs and Combinatorics
1	Algorithmica
1	Discrete & Computational Geometry
1	Revista Matemática Iberoamericana
1	Forum Mathematicum
1	International Journal of Algebra and Computation
1	Geometric and Functional Analysis. GAFA
1	Computational Statistics
1	L’Enseignement Mathématique. 2e Série
1	Historia Mathematica
1	Bulletin of the American Mathematical Society. New Series
1	Indagationes Mathematicae. New Series
1	Applicable Algebra in Engineering, Communication and Computing
1	Cybernetics and Systems Analysis
1	Computational Complexity
1	Applied and Computational Harmonic Analysis
1	Combinatorics, Probability and Computing
1	The Electronic Journal of Combinatorics
1	Selecta Mathematica. New Series
1	Theory of Computing Systems
...and 27 more Serials

all top 5

Cited in 40 Fields

279	Number theory (11-XX)
57	Algebraic geometry (14-XX)
49	Information and communication theory, circuits (94-XX)
20	Group theory and generalizations (20-XX)
17	Combinatorics (05-XX)
15	Computer science (68-XX)
14	Harmonic analysis on Euclidean spaces (42-XX)
10	Quantum theory (81-XX)
9	Field theory and polynomials (12-XX)
8	Linear and multilinear algebra; matrix theory (15-XX)
5	Commutative algebra (13-XX)
5	Functional analysis (46-XX)
4	History and biography (01-XX)
4	Associative rings and algebras (16-XX)
4	Abstract harmonic analysis (43-XX)
4	Global analysis, analysis on manifolds (58-XX)
3	Dynamical systems and ergodic theory (37-XX)
3	Probability theory and stochastic processes (60-XX)
3	Numerical analysis (65-XX)
2	General and overarching topics; collections (00-XX)
2	Mathematical logic and foundations (03-XX)
2	Measure and integration (28-XX)
2	Operator theory (47-XX)
2	Manifolds and cell complexes (57-XX)
1	Order, lattices, ordered algebraic structures (06-XX)
1	\(K\)-theory (19-XX)
1	Topological groups, Lie groups (22-XX)
1	Real functions (26-XX)
1	Functions of a complex variable (30-XX)
1	Special functions (33-XX)
1	Partial differential equations (35-XX)
1	Difference and functional equations (39-XX)
1	Geometry (51-XX)
1	General topology (54-XX)
1	Algebraic topology (55-XX)
1	Statistics (62-XX)
1	Statistical mechanics, structure of matter (82-XX)
1	Relativity and gravitational theory (83-XX)
1	Operations research, mathematical programming (90-XX)
1	Systems theory; control (93-XX)

Citations by Year

Wikidata Timeline

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