Richard R. Hall - Author Profile

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Hall, Richard R.

Author ID:	hall.richard-r
Published as:	Hall, R. R.; Hall, Richard R.; Hall, R. R more...less
Further Spellings:	Hall, Richard Roxby
Homepage:	https://www.york.ac.uk/maths/people/richard-hall/
External Links:	MGP · Google Scholar · dblp

Documents Indexed:	123 Publications since 1967, including 4 Books and 1 Additional arXiv Preprint
Co-Authors:	23 Co-Authors with 51 Joint Publications
	1,087 Co-Co-Authors

all top 5

Co-Authors

71	single-authored
14	Erdős, Pál
14	Tenenbaum, Gérald
4	Hayman, Walter Kurt
4	Huxley, Martin N.
3	Wild, K.
2	Bui, Hung Manh
2	Greaves, George
2	Shiu, Peter
2	Sudbery, Anthony
1	Arthurs, A. M.
1	Dupain, Yves
1	Goldstein, Myron
1	Grimmett, Geoffrey R.
1	Hawkins, Eli
1	Jackson, Terence H.
1	Kay, Bernard S.
1	Ruscheweyh, Stephan
1	Sheil-Small, Terry
1	Smith, Hal Leslie
1	Vincze, István
1	Weitsman, Allen
1	Williamson, John H.
1	Zagier, Don Bernard

all top 5

Serials

21	Acta Arithmetica
17	Mathematika
14	Journal of the London Mathematical Society. Second Series
12	Journal of Number Theory
8	Mathematical Proceedings of the Cambridge Philosophical Society
8	Bulletin of the London Mathematical Society
8	Journal für die Reine und Angewandte Mathematik
4	Journal d’Analyse Mathématique
4	Cambridge Tracts in Mathematics
2	Houston Journal of Mathematics
2	Michigan Mathematical Journal
2	Journal of the Australian Mathematical Society. Series A
2	Computational Methods and Function Theory
1	Acta Mathematica Academiae Scientiarum Hungaricae
1	Discrete Mathematics
1	Indian Journal of Pure & Applied Mathematics
1	Periodica Mathematica Hungarica
1	Canadian Mathematical Bulletin
1	Commentarii Mathematici Helvetici
1	Compositio Mathematica
1	Journal of Combinatorial Theory. Series A
1	Proceedings of the Edinburgh Mathematical Society. Series II
1	The Quarterly Journal of Mathematics. Oxford Second Series
1	Proceedings of the Cambridge Philosophical Society

all top 5

Fields

93	Number theory (11-XX)
13	Functions of a complex variable (30-XX)
6	Convex and discrete geometry (52-XX)
5	Harmonic analysis on Euclidean spaces (42-XX)
4	Group theory and generalizations (20-XX)
3	Combinatorics (05-XX)
3	Calculus of variations and optimal control; optimization (49-XX)
2	Potential theory (31-XX)
2	Geometry (51-XX)
2	Probability theory and stochastic processes (60-XX)
1	Field theory and polynomials (12-XX)
1	Commutative algebra (13-XX)
1	Special functions (33-XX)
1	Difference and functional equations (39-XX)
1	Differential geometry (53-XX)
1	Mechanics of deformable solids (74-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

93 Publications have been cited 657 times in 473 Documents	Cited by ▼	Year ▼
Divisors. Zbl 0653.10001 Hall, Richard R.; Tenenbaum, Gérald	86	1988
A quantitative isoperimetric inequality in \(n\)-dimensional space. Zbl 0746.52012 Hall, R. R	48	1992
On asymmetry and capacity. Zbl 0747.31004 Hall, R. R.; Hayman, W. K.; Weitsman, A. W.	36	1991
Sets of multiples. Zbl 0871.11001 Hall, Richard R.	30	1996
The behaviour of the Riemann zeta-function on the critical line. Zbl 1134.11337 Hall, R. R.	24	1999
On the angular distribution of Gaussian integers with fixed norm. Zbl 1044.11073 Erdős, P.; Hall, R. R.	23	1999
On pseudo-polynomials. Zbl 0226.10019 Hall, R. R.	17	1971
A new unconditional result about large spaces between zeta zeros. Zbl 1119.11050 Hall, R. R.	17	2005
A Wirtinger type inequality and the spacing of the zeros of the Riemann zeta-function. Zbl 0994.11030 Hall, R. R.	17	2002
On an inequality of E. Heinz. Zbl 0548.42002 Hall, R. R.	17	1983
Some advances in the no-three-in-line problem. Zbl 0302.05016 Hall, R. R.; Jackson, T. H.; Sudbery, A.; Wild, K.	15	1975
A note on Farey series. Zbl 0191.33202 Hall, R. R.	13	1970
Reciprocity formulae for general Dedekind-Rademacher sums. Zbl 0847.11020 Hall, R. R.; Wilson, J. C.; Zagier, D.	13	1995
Effective mean value estimates for complex multiplicative functions. Zbl 0741.11039 Hall, R. R.; Tenenbaum, G.	12	1991
Halving an estimate obtained from Selberg’s upper bound method. Zbl 0272.10025 Hall, R. R.	11	1974
A class of isoperimetric inequalities. Zbl 0634.42002 Hall, R. R.	11	1985
The index of a Farey sequence. Zbl 1038.11062 Hall, R. R.; Shiu, P.	11	2003
On the stationary points of Hardy’s function \(Z(t)\). Zbl 1153.11324 Hall, R. R.	9	2004
Squarefree numbers on short intervals. Zbl 0502.10027 Hall, R. R.	9	1982
On consecutive Farey arcs. Zbl 0553.10011 Hall, R. R.; Tenenbaum, G.	9	1984
The propinquity of divisors. Zbl 0421.10027 Erdős, Paul; Hall, R. R.	9	1979
On the average and normal orders of Hooley’s Delta-function. Zbl 0489.10046 Hall, R. R.; Tenenbaum, G.	8	1982
Sur l’équirepartition modulo 1 de certaines fonctions de diviseurs. Zbl 0504.10029 Dupain, Y.; Hall, R. R.; Tenenbaum, G.	8	1982
On some unconventional problems on the divisors of integers. Zbl 0393.10047 Erdős, Paul; Hall, R. R.	8	1978
Generalized Wirtinger inequalities, random matrix theory, and the zeros of the Riemann zeta-function. Zbl 1066.11037 Hall, R. R.	8	2002
A sharp inequality of Halász type for the mean value of a multiplicative arithmetic function. Zbl 0831.11050 Hall, R. R.	7	1995
Multiple Franel integrals. Zbl 0791.11029 Greaves, G. R. H.; Hall, R. R.; Huxley, M. N.; Wilson, J. C.	7	1993
On a conjecture of Littlewood. Zbl 0325.52016 Hall, R. R.	6	1975
A problem in the theory of subordination. Zbl 0851.42008 Hall, R. R.; Hayman, W. K.	6	1993
Sets of multiples and Behrend sequences. Zbl 0716.11007 Hall, R. R.	6	1990
The distribution of squarefree numbers. Zbl 0653.10040 Hall, R. R.	6	1989
The average orders of Hooley’s \(\Delta_r\)-functions. Zbl 0552.10027 Hall, R. R.; Tenenbaum, G.	6	1984
Sums of imaginary powers of the divisors of integers. Zbl 0308.10037 Hall, R. R.	5	1975
On the distribution of divisors of integers in residue classes (mod k). Zbl 0198.06704 Hall, R. R.	5	1970
On the probability that \(n\) and \(f(n)\) are relatively prime. Zbl 0208.05701 Hall, R. R.	5	1970
The Gaussian curvature of minimal surfaces and Heinz’ constant. Zbl 0907.53005 Hall, R. R.	5	1998
On the Möbius function. Zbl 0419.10006 Erdős, Paul; Hall, R. R.	5	1980
On reciprocity formulae for inhomogeneous and homogeneous Dedekind sums. Zbl 0783.11021 Hall, R. R.; Wilson, J. C.	5	1993
The average orders of Hooley’s \(\Delta _ r\)-functions. II. Zbl 0614.10037 Hall, R. R.; Tenenbaum, G.	5	1986
Divisors. Reprint of the 1988 hardback ed. Zbl 1156.11002 Hall, Richard R.; Tenenbaum, Gérald	4	2008
Proof of a conjecture about the distribution of divisors of integers in residue classes. Zbl 0368.10033 Erdős, Paul; Hall, R. R.	4	1976
Hyperbolic distance and distinct zeros of the Riemann zeta-function in small regions. Zbl 0967.11035 Hall, R. R.; Hayman, W. K.	4	2000
Dedekind sums and continued fractions. Zbl 0785.11027 Hall, R. R.; Huxley, M. N.	4	1993
Convexity preservation of inverse Euler operators and a problem of S. Miller. Zbl 0475.30003 Goldstein, M.; Hall, R. R.; Sheil-Small, T.; Smith, H. L.	3	1982
Large spaces between the zeros of the Riemann zeta-function and random matrix theory. Zbl 1067.11055 Hall, R. R.	3	2004
Sur la proximite des diviseurs. Zbl 0463.10029 Hall, R. R.; Tenenbaum, G.	3	1981
On a conjecture of Shapiro about trigonometric series. Zbl 0521.30011 Hall, R. R.	3	1982
On the probability that \(n\) and \(f(n)\) are relatively prime. III. Zbl 0212.07802 Hall, R. R.	3	1972
On the probability that \(n\) and \(f(n)\) are relatively prime. II. Zbl 0221.10042 Hall, R. R.	3	1971
The divisors of integers. I. Zbl 0272.10019 Hall, R. R.	3	1974
Some distribution problems concerning the divisors of integers. Zbl 0272.10021 Erdős, Paul; Hall, R. R.	3	1974
A conformal mapping inequality for starlike functions of order 1/2. Zbl 0442.30007 Hall, R. R.	3	1980
The length of ray-images under starlike mappings. Zbl 0356.30005 Hall, R. R.	3	1976
A new definition of the density of an integer sequence. Zbl 0393.10055 Hall, R. R.	3	1978
On the densities of sets of multiples. Zbl 0814.11043 Erdős, Paul; Hall, R. R.; Tenenbaum, G.	3	1994
On Behrend sequences. Zbl 0780.11041 Hall, R. R.; Tenenbaum, G.	3	1992
Distinct values of Euler’s \(\varphi\)-function. Zbl 0329.10036 Erdős, Paul; Hall, R. R.	3	1976
On transforms of functions with bounded boundary rotation. Zbl 0604.30017 Hall, Richard R.; Ruscheweyh, St.	3	1985
On consecutive Farey arcs. II. Zbl 0831.11022 Hall, R. R.	3	1994
The divisor density of integer sequences. Zbl 0469.10035 Hall, R. R.	2	1981
On the values of Euler’s \(\varphi\)-function. Zbl 0252.10007 Erdős, Paul; Hall, R. R.	2	1973
The divisors of integers. II. Zbl 0272.10020 Hall, R. R.	2	1975
On a conjecture of Clunie and Sheil-Small. Zbl 0434.30012 Hall, R. R.	2	1980
Values of the divisor function on short intervals. Zbl 0435.10027 Erdős, Paul; Hall, R. R.	2	1980
A problem in combinatorial geometry. Zbl 0331.05006 Hall, R. R.	2	1976
The distribution of totatives. Zbl 1043.11005 Hall, R. R.; Shiu, P.	2	2002
The distribution of \(f(d)\) \((\bmod 1)\). Zbl 0343.10036 Hall, R. R.	2	1976
Euler’s \(\varphi\)-function and its iterates. Zbl 0367.10004 Erdős, Paul; Hall, R. R.	2	1978
The propinquity of divisors. Zbl 0407.10036 Hall, R. R.	2	1979
On some conjectures of Erdős in Astérisque. I. Zbl 0768.11035 Hall, R. R.	2	1992
On a simultaneous characterization of the Poisson law and the gamma distribution. Zbl 0454.60017 Hall, R. R.; Vincze, I.	1	1981
A problem of Erdős and Kátai. Zbl 0298.10003 Hall, R. R.	1	1974
On a certain functional equation. Zbl 0314.30005 Hall, R. R.; Williamson, J. H.	1	1976
On the extreme values of the Riemann zeta-function between its zeros on the critical line. Zbl 1119.11049 Hall, R. R.	1	2003
On the distribution of divisors of integers in residue classes (mod \(k\)). III. Zbl 0258.10024 Hall, R. R.	1	1971
The divisors of p-1. Zbl 0273.10038 Hall, R. R.	1	1973
On the distribution of divisors of integers in residue classes (mod k). II. Zbl 0216.31103 Hall, R. R.	1	1971
On a conjecture of Erdős and Renyi concerning Abelia n groups. Zbl 0257.20041 Hall, R. R.; Sudbery, A.	1	1972
Extremum principle for a nonlinear problem in magneto-elasticity. Zbl 0254.73078 Anderson, N.; Arthurs, A. M.; Hall, R. R.	1	1972
Three identities connected with the numbers 5 and 7. Zbl 0167.27902 Hall, R. R.	1	1967
On the zeros of the Riemann zeta-function. Zbl 0936.11050 Hall, R. R.	1	1999
On a conjecture of Erdős and Sarközy. Zbl 0425.10047 Hall, R. R.	1	1980
Some four dimensional definite integrals arising from zeta-function theory. Zbl 1302.11058 Hall, Richard R.	1	2012
Probabilistic methods in group theory. II. Zbl 0336.20041 Erdős, Paul; Hall, R. R.	1	1976
Some new results in probabilistic group theory. Zbl 0385.20045 Erdős, Paul; Hall, R. R.	1	1978
Extreme values of the Riemann zeta-function on short zero intervals. Zbl 1149.11040 Hall, R. R.	1	2006
Hooley’s \(\Delta _ r\)-functions when r is large. Zbl 0591.10039 Hall, R. R.	1	1986
The parity of Farey denominators and the Farey index. Zbl 1098.11015 Hall, R. R.	1	2005
Large spaces between the zeros of the Riemann zeta-function and random matrix theory. II. Zbl 1236.11074 Hall, Richard R.	1	2008
The asymptotics of random sieves. Zbl 0725.11044 Grimmett, G. R.; Hall, R. R.	1	1991
An extremal problem for polynomials. Zbl 0576.30004 Hall, R. R.	1	1985
Les ensembles de multiples et la densité divisorielle. (Sets of multiples and divisor density). Zbl 0581.10030 Hall, R. R.; Tenenbaum, G.	1	1986
On the derivatives of Hardy’s function \(Z(t)\). Zbl 1540.11114 Bui, Hung M.; Hall, Richard R.	1	2023
On the derivatives of Hardy’s function \(Z(t)\). Zbl 1540.11114 Bui, Hung M.; Hall, Richard R.	1	2023
Some four dimensional definite integrals arising from zeta-function theory. Zbl 1302.11058 Hall, Richard R.	1	2012
Divisors. Reprint of the 1988 hardback ed. Zbl 1156.11002 Hall, Richard R.; Tenenbaum, Gérald	4	2008
Large spaces between the zeros of the Riemann zeta-function and random matrix theory. II. Zbl 1236.11074 Hall, Richard R.	1	2008
Extreme values of the Riemann zeta-function on short zero intervals. Zbl 1149.11040 Hall, R. R.	1	2006
A new unconditional result about large spaces between zeta zeros. Zbl 1119.11050 Hall, R. R.	17	2005
The parity of Farey denominators and the Farey index. Zbl 1098.11015 Hall, R. R.	1	2005
On the stationary points of Hardy’s function \(Z(t)\). Zbl 1153.11324 Hall, R. R.	9	2004
Large spaces between the zeros of the Riemann zeta-function and random matrix theory. Zbl 1067.11055 Hall, R. R.	3	2004
The index of a Farey sequence. Zbl 1038.11062 Hall, R. R.; Shiu, P.	11	2003
On the extreme values of the Riemann zeta-function between its zeros on the critical line. Zbl 1119.11049 Hall, R. R.	1	2003
A Wirtinger type inequality and the spacing of the zeros of the Riemann zeta-function. Zbl 0994.11030 Hall, R. R.	17	2002
Generalized Wirtinger inequalities, random matrix theory, and the zeros of the Riemann zeta-function. Zbl 1066.11037 Hall, R. R.	8	2002
The distribution of totatives. Zbl 1043.11005 Hall, R. R.; Shiu, P.	2	2002
Hyperbolic distance and distinct zeros of the Riemann zeta-function in small regions. Zbl 0967.11035 Hall, R. R.; Hayman, W. K.	4	2000
The behaviour of the Riemann zeta-function on the critical line. Zbl 1134.11337 Hall, R. R.	24	1999
On the angular distribution of Gaussian integers with fixed norm. Zbl 1044.11073 Erdős, P.; Hall, R. R.	23	1999
On the zeros of the Riemann zeta-function. Zbl 0936.11050 Hall, R. R.	1	1999
The Gaussian curvature of minimal surfaces and Heinz’ constant. Zbl 0907.53005 Hall, R. R.	5	1998
Sets of multiples. Zbl 0871.11001 Hall, Richard R.	30	1996
Reciprocity formulae for general Dedekind-Rademacher sums. Zbl 0847.11020 Hall, R. R.; Wilson, J. C.; Zagier, D.	13	1995
A sharp inequality of Halász type for the mean value of a multiplicative arithmetic function. Zbl 0831.11050 Hall, R. R.	7	1995
On the densities of sets of multiples. Zbl 0814.11043 Erdős, Paul; Hall, R. R.; Tenenbaum, G.	3	1994
On consecutive Farey arcs. II. Zbl 0831.11022 Hall, R. R.	3	1994
Multiple Franel integrals. Zbl 0791.11029 Greaves, G. R. H.; Hall, R. R.; Huxley, M. N.; Wilson, J. C.	7	1993
A problem in the theory of subordination. Zbl 0851.42008 Hall, R. R.; Hayman, W. K.	6	1993
On reciprocity formulae for inhomogeneous and homogeneous Dedekind sums. Zbl 0783.11021 Hall, R. R.; Wilson, J. C.	5	1993
Dedekind sums and continued fractions. Zbl 0785.11027 Hall, R. R.; Huxley, M. N.	4	1993
A quantitative isoperimetric inequality in \(n\)-dimensional space. Zbl 0746.52012 Hall, R. R	48	1992
On Behrend sequences. Zbl 0780.11041 Hall, R. R.; Tenenbaum, G.	3	1992
On some conjectures of Erdős in Astérisque. I. Zbl 0768.11035 Hall, R. R.	2	1992
On asymmetry and capacity. Zbl 0747.31004 Hall, R. R.; Hayman, W. K.; Weitsman, A. W.	36	1991
Effective mean value estimates for complex multiplicative functions. Zbl 0741.11039 Hall, R. R.; Tenenbaum, G.	12	1991
The asymptotics of random sieves. Zbl 0725.11044 Grimmett, G. R.; Hall, R. R.	1	1991
Sets of multiples and Behrend sequences. Zbl 0716.11007 Hall, R. R.	6	1990
The distribution of squarefree numbers. Zbl 0653.10040 Hall, R. R.	6	1989
Divisors. Zbl 0653.10001 Hall, Richard R.; Tenenbaum, Gérald	86	1988
The average orders of Hooley’s \(\Delta _ r\)-functions. II. Zbl 0614.10037 Hall, R. R.; Tenenbaum, G.	5	1986
Hooley’s \(\Delta _ r\)-functions when r is large. Zbl 0591.10039 Hall, R. R.	1	1986
Les ensembles de multiples et la densité divisorielle. (Sets of multiples and divisor density). Zbl 0581.10030 Hall, R. R.; Tenenbaum, G.	1	1986
A class of isoperimetric inequalities. Zbl 0634.42002 Hall, R. R.	11	1985
On transforms of functions with bounded boundary rotation. Zbl 0604.30017 Hall, Richard R.; Ruscheweyh, St.	3	1985
An extremal problem for polynomials. Zbl 0576.30004 Hall, R. R.	1	1985
On consecutive Farey arcs. Zbl 0553.10011 Hall, R. R.; Tenenbaum, G.	9	1984
The average orders of Hooley’s \(\Delta_r\)-functions. Zbl 0552.10027 Hall, R. R.; Tenenbaum, G.	6	1984
On an inequality of E. Heinz. Zbl 0548.42002 Hall, R. R.	17	1983
Squarefree numbers on short intervals. Zbl 0502.10027 Hall, R. R.	9	1982
On the average and normal orders of Hooley’s Delta-function. Zbl 0489.10046 Hall, R. R.; Tenenbaum, G.	8	1982
Sur l’équirepartition modulo 1 de certaines fonctions de diviseurs. Zbl 0504.10029 Dupain, Y.; Hall, R. R.; Tenenbaum, G.	8	1982
Convexity preservation of inverse Euler operators and a problem of S. Miller. Zbl 0475.30003 Goldstein, M.; Hall, R. R.; Sheil-Small, T.; Smith, H. L.	3	1982
On a conjecture of Shapiro about trigonometric series. Zbl 0521.30011 Hall, R. R.	3	1982
Sur la proximite des diviseurs. Zbl 0463.10029 Hall, R. R.; Tenenbaum, G.	3	1981
The divisor density of integer sequences. Zbl 0469.10035 Hall, R. R.	2	1981
On a simultaneous characterization of the Poisson law and the gamma distribution. Zbl 0454.60017 Hall, R. R.; Vincze, I.	1	1981
On the Möbius function. Zbl 0419.10006 Erdős, Paul; Hall, R. R.	5	1980
A conformal mapping inequality for starlike functions of order 1/2. Zbl 0442.30007 Hall, R. R.	3	1980
On a conjecture of Clunie and Sheil-Small. Zbl 0434.30012 Hall, R. R.	2	1980
Values of the divisor function on short intervals. Zbl 0435.10027 Erdős, Paul; Hall, R. R.	2	1980
On a conjecture of Erdős and Sarközy. Zbl 0425.10047 Hall, R. R.	1	1980
The propinquity of divisors. Zbl 0421.10027 Erdős, Paul; Hall, R. R.	9	1979
The propinquity of divisors. Zbl 0407.10036 Hall, R. R.	2	1979
On some unconventional problems on the divisors of integers. Zbl 0393.10047 Erdős, Paul; Hall, R. R.	8	1978
A new definition of the density of an integer sequence. Zbl 0393.10055 Hall, R. R.	3	1978
Euler’s \(\varphi\)-function and its iterates. Zbl 0367.10004 Erdős, Paul; Hall, R. R.	2	1978
Some new results in probabilistic group theory. Zbl 0385.20045 Erdős, Paul; Hall, R. R.	1	1978
Proof of a conjecture about the distribution of divisors of integers in residue classes. Zbl 0368.10033 Erdős, Paul; Hall, R. R.	4	1976
The length of ray-images under starlike mappings. Zbl 0356.30005 Hall, R. R.	3	1976
Distinct values of Euler’s \(\varphi\)-function. Zbl 0329.10036 Erdős, Paul; Hall, R. R.	3	1976
A problem in combinatorial geometry. Zbl 0331.05006 Hall, R. R.	2	1976
The distribution of \(f(d)\) \((\bmod 1)\). Zbl 0343.10036 Hall, R. R.	2	1976
On a certain functional equation. Zbl 0314.30005 Hall, R. R.; Williamson, J. H.	1	1976
Probabilistic methods in group theory. II. Zbl 0336.20041 Erdős, Paul; Hall, R. R.	1	1976
Some advances in the no-three-in-line problem. Zbl 0302.05016 Hall, R. R.; Jackson, T. H.; Sudbery, A.; Wild, K.	15	1975
On a conjecture of Littlewood. Zbl 0325.52016 Hall, R. R.	6	1975
Sums of imaginary powers of the divisors of integers. Zbl 0308.10037 Hall, R. R.	5	1975
The divisors of integers. II. Zbl 0272.10020 Hall, R. R.	2	1975
Halving an estimate obtained from Selberg’s upper bound method. Zbl 0272.10025 Hall, R. R.	11	1974
The divisors of integers. I. Zbl 0272.10019 Hall, R. R.	3	1974
Some distribution problems concerning the divisors of integers. Zbl 0272.10021 Erdős, Paul; Hall, R. R.	3	1974
A problem of Erdős and Kátai. Zbl 0298.10003 Hall, R. R.	1	1974
On the values of Euler’s \(\varphi\)-function. Zbl 0252.10007 Erdős, Paul; Hall, R. R.	2	1973
The divisors of p-1. Zbl 0273.10038 Hall, R. R.	1	1973
On the probability that \(n\) and \(f(n)\) are relatively prime. III. Zbl 0212.07802 Hall, R. R.	3	1972
On a conjecture of Erdős and Renyi concerning Abelia n groups. Zbl 0257.20041 Hall, R. R.; Sudbery, A.	1	1972
Extremum principle for a nonlinear problem in magneto-elasticity. Zbl 0254.73078 Anderson, N.; Arthurs, A. M.; Hall, R. R.	1	1972
On pseudo-polynomials. Zbl 0226.10019 Hall, R. R.	17	1971
On the probability that \(n\) and \(f(n)\) are relatively prime. II. Zbl 0221.10042 Hall, R. R.	3	1971
On the distribution of divisors of integers in residue classes (mod \(k\)). III. Zbl 0258.10024 Hall, R. R.	1	1971
On the distribution of divisors of integers in residue classes (mod k). II. Zbl 0216.31103 Hall, R. R.	1	1971
A note on Farey series. Zbl 0191.33202 Hall, R. R.	13	1970
On the distribution of divisors of integers in residue classes (mod k). Zbl 0198.06704 Hall, R. R.	5	1970
On the probability that \(n\) and \(f(n)\) are relatively prime. Zbl 0208.05701 Hall, R. R.	5	1970
Three identities connected with the numbers 5 and 7. Zbl 0167.27902 Hall, R. R.	1	1967

all cited Publications top 5 cited Publications

all top 5

Cited by 552 Authors

32	Tenenbaum, Gérald
30	Hall, Richard R.
14	Pollack, Paul
11	Fusco, Nicola
11	Zaharescu, Alexandru
10	Ford, Kevin B.
8	de la Bretèche, Régis
8	Luca, Florian
7	Erdős, Pál
7	Ponnusamy, Saminathan
7	Wigman, Igor
5	Boca, Florin-Petre
5	Bui, Hung Manh
5	Cianchi, Andrea
5	Kalaj, David
5	Keller, Gerhard
5	Kułaga-Przymus, Joanna
5	Maggi, Francesco
5	Maier, Helmut
5	Pomerance, Carl Bernard
5	Turnage-Butterbaugh, Caroline L.
4	Alkan, Emre
4	Chen, Shaolin
4	Ivić, Aleksandar
4	Kasjan, Stanisław
4	Lemańczyk, Mariusz
4	Ng, Nathan C.
4	Pratelli, Aldo
4	Raouj, Abdelaziz
4	Sanna, Carlo
4	Tanigawa, Yoshio
3	Bayad, Abdelmejid
3	Bögelein, Verena
3	Chubarikov, Vladimir Nikolaevich
3	Cicalese, Marco
3	Duzaar, Frank
3	Dymek, Aurelia
3	Gabdullin, Mikhail R.
3	Gorodetsky, Ofir
3	Granville, Andrew James
3	Henrot, Antoine
3	Hildebrand, Adolf J.
3	Konyagin, Sergeĭ Vladimirovich
3	Koukoulopoulos, Dimitris
3	Kovalev, Leonid V.
3	Mangerel, Alexander P.
3	Matomäki, Kaisa
3	Peccati, Giovanni
3	Radziwiłł, Maksym
3	Rossi, Maurizia
3	Ruzsa, Imre Z.
3	Sartori, Andrea
3	Shparlinski, Igor E.
3	Sinaĭ, Yakov Grigor’evich
3	Soundararajan, Kannan
3	Trudgian, Timothy S.
3	Wang, Xiantao
3	Wu, Jie
3	Yesha, Nadav
2	Assiotis, Theodoros
2	Bachman, Gennady
2	Balazard, Michel
2	Banks, William David
2	Bettin, Sandro
2	Bezrodnykh, Sergeĭ I.
2	Bianchini, Chiara
2	Bordellès, Olivier
2	Burchard, Almut
2	Can, Mumun
2	Canzani, Yaiza
2	Carlen, Eric Anders
2	Cellarosi, Francesco
2	Clark, Peter Louis
2	Cobeli, Cristian
2	Conrey, John Brian
2	Croce, Gisella
2	Dacorogna, Bernard
2	Das, Mithun Kumar
2	De Koninck, Jean-Marie
2	Destagnol, Kevin
2	Ding, Jian
2	Eberhard, Sean
2	Esposito, Luca
2	Feng, Shaoji
2	Figalli, Alessio
2	Fonseca, Irene
2	Fournier, Richard
2	Frantzikinakis, Nikos
2	Friedlander, John Benjamin
2	Fukshansky, Lenny
2	Furuya, Jun
2	Girão, Frederico
2	Gunes, Mustafa Alper
2	Hayman, Walter Kurt
2	Haynes, Alan K.
2	Host, Bernard
2	Hua, Guodong
2	Huxley, Martin N.
2	Iudelevich, Vitalii V.
2	Jiang, Yujiao
...and 452 more Authors

all top 5

Cited in 165 Serials

50	Journal of Number Theory
17	Proceedings of the American Mathematical Society
12	The Ramanujan Journal
11	Journal of Mathematical Analysis and Applications
11	Mathematical Proceedings of the Cambridge Philosophical Society
10	Monatshefte für Mathematik
10	Transactions of the American Mathematical Society
9	Indagationes Mathematicae. New Series
9	International Journal of Number Theory
8	Bulletin of the London Mathematical Society
8	Mathematika
7	Acta Arithmetica
7	Journal of Functional Analysis
7	Mathematische Zeitschrift
6	Journal of Combinatorial Theory. Series A
6	Calculus of Variations and Partial Differential Equations
5	Journal d’Analyse Mathématique
5	Advances in Mathematics
5	Annales de l’Institut Fourier
5	Inventiones Mathematicae
5	Journal für die Reine und Angewandte Mathematik
5	Computational Methods and Function Theory
5	Complex Variables and Elliptic Equations
5	Research in Number Theory
4	Communications in Mathematical Physics
4	Israel Journal of Mathematics
4	Mathematics of Computation
4	Archiv der Mathematik
4	Functiones et Approximatio. Commentarii Mathematici
4	Mathematische Annalen
4	Acta Mathematica Hungarica
4	Geometric and Functional Analysis. GAFA
4	Journal of the European Mathematical Society (JEMS)
4	Proceedings of the Steklov Institute of Mathematics
3	Bulletin of the Australian Mathematical Society
3	Discrete Mathematics
3	Bulletin de la Société Mathématique de France
3	Compositio Mathematica
3	Duke Mathematical Journal
3	Glasgow Mathematical Journal
3	Michigan Mathematical Journal
3	Journal of the American Mathematical Society
3	Journal de Théorie des Nombres de Bordeaux
3	Journal of Inequalities and Applications
3	Integers
3	Research in the Mathematical Sciences
2	Archive for Rational Mechanics and Analysis
2	Communications on Pure and Applied Mathematics
2	Lithuanian Mathematical Journal
2	Mathematical Notes
2	The Annals of Probability
2	Applied Mathematics and Computation
2	Canadian Mathematical Bulletin
2	Geometriae Dedicata
2	Journal of Computational and Applied Mathematics
2	Journal of the London Mathematical Society. Second Series
2	Manuscripta Mathematica
2	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2	Proceedings of the London Mathematical Society. Third Series
2	Rendiconti del Circolo Matemàtico di Palermo. Serie II
2	Ergodic Theory and Dynamical Systems
2	Discrete & Computational Geometry
2	Forum Mathematicum
2	Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2	Journal of Mathematical Sciences (New York)
2	Turkish Journal of Mathematics
2	Bulletin des Sciences Mathématiques
2	Electronic Research Announcements of the American Mathematical Society
2	Discrete and Continuous Dynamical Systems
2	Doklady Mathematics
2	European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2	Annales Henri Poincaré
2	Comptes Rendus. Mathématique. Académie des Sciences, Paris
2	Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2	Oberwolfach Reports
2	Journal of Physics A: Mathematical and Theoretical
2	Advances in Calculus of Variations
2	Science China. Mathematics
2	Analysis and Mathematical Physics
2	Open Mathematics
2	Discrete Analysis
1	Advances in Applied Probability
1	Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1	Journal of Mathematical Physics
1	Moscow University Mathematics Bulletin
1	Nonlinearity
1	Periodica Mathematica Hungarica
1	Rocky Mountain Journal of Mathematics
1	Journal of Geometry and Physics
1	Theory of Probability and its Applications
1	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1	Acta Mathematica
1	Algebra Universalis
1	Canadian Journal of Mathematics
1	Colloquium Mathematicum
1	Czechoslovak Mathematical Journal
1	Fuzzy Sets and Systems
1	Journal of Differential Equations
1	The Journal of the Indian Mathematical Society. New Series
...and 65 more Serials

all top 5

Cited in 41 Fields

300	Number theory (11-XX)
38	Probability theory and stochastic processes (60-XX)
34	Functions of a complex variable (30-XX)
31	Partial differential equations (35-XX)
29	Combinatorics (05-XX)
29	Convex and discrete geometry (52-XX)
27	Calculus of variations and optimal control; optimization (49-XX)
20	Measure and integration (28-XX)
20	Dynamical systems and ergodic theory (37-XX)
18	Potential theory (31-XX)
17	Differential geometry (53-XX)
15	Real functions (26-XX)
14	Global analysis, analysis on manifolds (58-XX)
13	Harmonic analysis on Euclidean spaces (42-XX)
12	Special functions (33-XX)
12	Functional analysis (46-XX)
10	Geometry (51-XX)
8	Computer science (68-XX)
7	Linear and multilinear algebra; matrix theory (15-XX)
6	Numerical analysis (65-XX)
5	General and overarching topics; collections (00-XX)
5	Group theory and generalizations (20-XX)
5	Information and communication theory, circuits (94-XX)
4	Algebraic geometry (14-XX)
3	History and biography (01-XX)
3	Quantum theory (81-XX)
3	Statistical mechanics, structure of matter (82-XX)
2	General algebraic systems (08-XX)
2	Several complex variables and analytic spaces (32-XX)
2	Ordinary differential equations (34-XX)
2	Approximations and expansions (41-XX)
2	Statistics (62-XX)
1	Commutative algebra (13-XX)
1	Difference and functional equations (39-XX)
1	Sequences, series, summability (40-XX)
1	Integral transforms, operational calculus (44-XX)
1	Operator theory (47-XX)
1	Mechanics of deformable solids (74-XX)
1	Relativity and gravitational theory (83-XX)
1	Geophysics (86-XX)
1	Systems theory; control (93-XX)

Hall, Richard R.

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Cited by 552 Authors

Cited in 165 Serials

Cited in 41 Fields

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