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Atkin, Arthur Oliver Lonsdale

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Author ID: atkin.a-oliver-l Recent zbMATH articles by "Atkin, Arthur Oliver Lonsdale"
Published as: Atkin, A. O. L.
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 35 Publications since 1954, including 1 Book
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

32 Publications have been cited 840 times in 699 Documents Cited by Year
Hecke operators on \(\Gamma_0(m)\). Zbl 0177.34901
Atkin, A. O. L.; Lehner, J.
258
1970
Some properties of partitions. Zbl 0055.03805
Atkin, A. O. L.; Swinnerton-Dyer, P.
129
1954
Twists of newforms and pseudo-eigenvalues of \(W\)-operators. Zbl 0369.10016
Atkin, A. O. L.; Li, W.-C. W.
77
1978
Elliptic curves and primality proving. Zbl 0792.11056
Atkin, A. O. L.; Morain, F.
60
1993
Relations between the ranks and cranks of partitions. Zbl 1039.11069
Atkin, A. O. L.; Garvan, F. G.
44
2003
Proof of a conjecture of Ramanujan. Zbl 0163.04302
Atkin, A. O. L.
44
1967
Modular forms on noncongruence subgroups. Zbl 0235.10015
Atkin, A. O. L.; Swinnerton-Dyer, H. P. F.
39
1971
Ramanujan congruences for \(p_{-k} (n)\). Zbl 0164.35101
Atkin, A. O. L.
25
1968
Some properties of \(p(n)\) and \(c(n)\) modulo powers of 13. Zbl 0147.30402
Atkin, A. O. L.; O’Brien, J. N.
21
1967
Multiplicative congruence properties and density problems for \(p(n)\). Zbl 0313.10025
Atkin, A. O. L.
20
1968
On Atkin and Swinnerton-Dyer congruence relations. II. Zbl 1157.11015
Atkin, A. O. L.; Li, Wen-Ching Winnie; Long, Ling
14
2008
Prime sieves using binary quadratic forms. Zbl 1049.11137
Atkin, A. O. L.; Bernstein, D. J.
14
2004
A note on ranks and conjugacy of partitions. Zbl 0144.25203
Atkin, A. O. L.
13
1966
Some properties of partitions. II. Zbl 0083.26201
Atkin, A. O. L.; Hussain, S. M.
12
1958
Finding suitable curves for the elliptic curve method of factorization. Zbl 0815.11063
Atkin, A. O. L.; Morain, F.
11
1993
Weierstrass points at cusps of \(\Gamma_ 0(n)\). Zbl 0145.31904
Atkin, A. O. L.
10
1967
Some computations for \(m\)-dimensional partitions. Zbl 0157.03103
Atkin, A. O. L.; Bratley, P.; Macdonald, I. G.; McKay, J. K. S.
8
1967
Enumeration and construction of pandiagonal Latin squares of prime order. Zbl 0528.05007
Atkin, A. O. L.; Hay, L.; Larson, R. G.
6
1983
On pseudo-squares. Zbl 0147.02703
Atkin, A. O. L.
5
1965
Galois representations with quaternion multiplication associated to noncongruence modular forms. Zbl 1292.11058
Atkin, A. O. L.; Li, Wen-Ching Winnie; Liu, Tong; Long, Ling
4
2013
Construction of Knut Vik designs. Zbl 0386.05015
Atkin, A. O. L.; Hay, L.; Larson, R. G.
4
1977
Computers in number theory. Proceedings of the science research council Atlas symposium No. 2 held at Oxford, from 18–23 August, 1969. Zbl 0214.00106
Atkin, A. O. L. (ed.); Birch, B. J. (ed.)
4
1971
Intelligent primality test offer. Zbl 0928.11054
Atkin, A. O. L.
3
1998
Note on a paper of Rankin. Zbl 0179.35001
Atkin, A. O. L.
3
1969
Powers of circulants in bottleneck algebra. Zbl 0879.15012
Atkin, A. O. L.; Boros, Endre; Cechlárová, Katarína; Peled, Uri N.
2
1997
Remark on a paper of Piff and Welsh. Zbl 0263.05031
Atkin, A. O. L.
2
1972
Congruence Hecke operators. Zbl 0222.12019
Atkin, A. O. L.
2
1969
Congruences for modular forms. Zbl 0186.36302
Atkin, A. O. L.
2
1968
Note on a paper of Birch. Zbl 0239.10022
Atkin, A. O. L.
1
1969
Ramanujan congruences for \(p_{-k}(n)\): Corrigendum. Zbl 0169.05904
Atkin, A. O. L.
1
1969
Explicit gap series at cusps of \(\Gamma(p)\). Zbl 0157.09301
Atkin, A. O. L.
1
1968
Note on a paper of Cheema and Gordon. Zbl 0149.01904
Atkin, A. O. L.
1
1967
Galois representations with quaternion multiplication associated to noncongruence modular forms. Zbl 1292.11058
Atkin, A. O. L.; Li, Wen-Ching Winnie; Liu, Tong; Long, Ling
4
2013
On Atkin and Swinnerton-Dyer congruence relations. II. Zbl 1157.11015
Atkin, A. O. L.; Li, Wen-Ching Winnie; Long, Ling
14
2008
Prime sieves using binary quadratic forms. Zbl 1049.11137
Atkin, A. O. L.; Bernstein, D. J.
14
2004
Relations between the ranks and cranks of partitions. Zbl 1039.11069
Atkin, A. O. L.; Garvan, F. G.
44
2003
Intelligent primality test offer. Zbl 0928.11054
Atkin, A. O. L.
3
1998
Powers of circulants in bottleneck algebra. Zbl 0879.15012
Atkin, A. O. L.; Boros, Endre; Cechlárová, Katarína; Peled, Uri N.
2
1997
Elliptic curves and primality proving. Zbl 0792.11056
Atkin, A. O. L.; Morain, F.
60
1993
Finding suitable curves for the elliptic curve method of factorization. Zbl 0815.11063
Atkin, A. O. L.; Morain, F.
11
1993
Enumeration and construction of pandiagonal Latin squares of prime order. Zbl 0528.05007
Atkin, A. O. L.; Hay, L.; Larson, R. G.
6
1983
Twists of newforms and pseudo-eigenvalues of \(W\)-operators. Zbl 0369.10016
Atkin, A. O. L.; Li, W.-C. W.
77
1978
Construction of Knut Vik designs. Zbl 0386.05015
Atkin, A. O. L.; Hay, L.; Larson, R. G.
4
1977
Remark on a paper of Piff and Welsh. Zbl 0263.05031
Atkin, A. O. L.
2
1972
Modular forms on noncongruence subgroups. Zbl 0235.10015
Atkin, A. O. L.; Swinnerton-Dyer, H. P. F.
39
1971
Computers in number theory. Proceedings of the science research council Atlas symposium No. 2 held at Oxford, from 18–23 August, 1969. Zbl 0214.00106
Atkin, A. O. L. (ed.); Birch, B. J. (ed.)
4
1971
Hecke operators on \(\Gamma_0(m)\). Zbl 0177.34901
Atkin, A. O. L.; Lehner, J.
258
1970
Note on a paper of Rankin. Zbl 0179.35001
Atkin, A. O. L.
3
1969
Congruence Hecke operators. Zbl 0222.12019
Atkin, A. O. L.
2
1969
Note on a paper of Birch. Zbl 0239.10022
Atkin, A. O. L.
1
1969
Ramanujan congruences for \(p_{-k}(n)\): Corrigendum. Zbl 0169.05904
Atkin, A. O. L.
1
1969
Ramanujan congruences for \(p_{-k} (n)\). Zbl 0164.35101
Atkin, A. O. L.
25
1968
Multiplicative congruence properties and density problems for \(p(n)\). Zbl 0313.10025
Atkin, A. O. L.
20
1968
Congruences for modular forms. Zbl 0186.36302
Atkin, A. O. L.
2
1968
Explicit gap series at cusps of \(\Gamma(p)\). Zbl 0157.09301
Atkin, A. O. L.
1
1968
Proof of a conjecture of Ramanujan. Zbl 0163.04302
Atkin, A. O. L.
44
1967
Some properties of \(p(n)\) and \(c(n)\) modulo powers of 13. Zbl 0147.30402
Atkin, A. O. L.; O’Brien, J. N.
21
1967
Weierstrass points at cusps of \(\Gamma_ 0(n)\). Zbl 0145.31904
Atkin, A. O. L.
10
1967
Some computations for \(m\)-dimensional partitions. Zbl 0157.03103
Atkin, A. O. L.; Bratley, P.; Macdonald, I. G.; McKay, J. K. S.
8
1967
Note on a paper of Cheema and Gordon. Zbl 0149.01904
Atkin, A. O. L.
1
1967
A note on ranks and conjugacy of partitions. Zbl 0144.25203
Atkin, A. O. L.
13
1966
On pseudo-squares. Zbl 0147.02703
Atkin, A. O. L.
5
1965
Some properties of partitions. II. Zbl 0083.26201
Atkin, A. O. L.; Hussain, S. M.
12
1958
Some properties of partitions. Zbl 0055.03805
Atkin, A. O. L.; Swinnerton-Dyer, P.
129
1954
all top 5

Cited by 739 Authors

20 Bringmann, Kathrin
16 Garvan, Frank G.
15 Andrews, George Eyre
14 Jennings-Shaffer, Chris
14 Ono, Ken
12 Mao, Renrong
11 Chan, Song Heng
10 Long, Ling
9 Kim, Chang Heon
9 Ramakrishnan, Balakrishnan
8 Kim, Byungchan
8 Lovejoy, Jeremy
8 Rhoades, Robert C.
7 Folsom, Amanda
7 Hasegawa, Yuji
7 Morain, François
7 Wang, Liuquan
6 Atkin, Arthur Oliver Lonsdale
6 Li, Wen-Ch’ing Winnie
6 Pizer, Arnold K.
6 Silverberg, Alice
6 Swisher, Holly
5 Ahlgren, Scott D.
5 Chan, Heng Huat
5 Chen, Shichao
5 Choi, Dohoon
5 Hickerson, Dean R.
5 Jeon, Daeyeol
5 Lang, Mong Lung
5 Nelson, Paul D.
5 Osburn, Robert
5 Sahu, Brundaban
5 Sutherland, Andrew V.
5 Tang, Dazhao
5 Then, Holger
4 Berkovich, Alexander
4 Booker, Andrew R.
4 Boylan, Matthew
4 Chen, William Yong-Chuan
4 Choi, Soyoung
4 Franc, Cameron
4 Jorgenson, Jay Alan
4 Kang, Soon-Yi
4 Kazalicki, Matija
4 Lewis, Richard P.
4 Lin, Bernard L. S.
4 Mahlburg, Karl
4 Mason, Geoffrey
4 Momose, Fumiyuki
4 Mortenson, Eric T.
4 Purkait, Soma
4 Rubin, Karl Cooper
4 Schoof, René
4 Shemanske, Thomas R.
4 Smajlović, Lejla
4 Young, Matthew P.
3 Andersen, Nickolas
3 Bars Cortina, Francesc
3 Baruah, Nayandeep Deka
3 Baruch, Ehud Moshe
3 Berndt, Bruce Carl
3 Bernstein, Daniel Julius
3 Billerey, Nicolas
3 Corteel, Sylvie
3 Dabbaghian, Vahid
3 Delaunay, Christophe
3 Dixit, Atul
3 Du, Julia Q. D.
3 Dujella, Andrej
3 Enge, Andreas
3 Galbraith, Steven D.
3 Govindarajan, Suresh
3 Grantham, Jon
3 Ji, Kathy Qing
3 Khan, Rizwanur
3 Kohnen, Winfried
3 Koike, Masao
3 Kumar, Balesh
3 Lim, Subong
3 Liu, Tong
3 Manickam, Murugesan
3 Mühlenbruch, Tobias
3 Pacetti, Ariel
3 Petrow, Ian N.
3 Radu, Cristian-Silviu
3 Risager, Morten S.
3 Rolen, Larry
3 Rouse, Jeremy A.
3 Savage, Carla D.
3 Serre, Jean-Pierre
3 Shimura, Mahoro
3 Singh, Anup Kumar
3 Treneer, Stephanie
3 Tu, Fang-Ting
3 Wu, Tiankuang
3 Yang, Yifan
3 Zhao, Jack C. D.
3 Zhu, Yifei
2 Abbes, Ahmed
2 Adiga, Chandrashekar
...and 639 more Authors
all top 5

Cited in 140 Serials

102 Journal of Number Theory
46 Mathematics of Computation
44 The Ramanujan Journal
40 International Journal of Number Theory
30 Transactions of the American Mathematical Society
27 Advances in Mathematics
26 Proceedings of the American Mathematical Society
17 Journal de Théorie des Nombres de Bordeaux
15 Compositio Mathematica
14 Journal of Combinatorial Theory. Series A
13 Duke Mathematical Journal
11 Proceedings of the Japan Academy. Series A
11 Experimental Mathematics
10 Nagoya Mathematical Journal
10 Research in Number Theory
9 Discrete Mathematics
9 Inventiones Mathematicae
9 Journal of Algebra
9 Annals of Combinatorics
8 Mathematische Annalen
7 Archiv der Mathematik
7 Journal of the American Mathematical Society
7 Research in the Mathematical Sciences
6 Bulletin of the Australian Mathematical Society
6 Journal of Mathematical Analysis and Applications
6 Journal of Soviet Mathematics
6 Mathematische Zeitschrift
6 Bulletin of the American Mathematical Society. New Series
5 Glasgow Mathematical Journal
5 Journal für die Reine und Angewandte Mathematik
5 Forum Mathematicum
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Acta Arithmetica
4 Annales de l’Institut Fourier
4 European Journal of Combinatorics
4 Algebra & Number Theory
3 Computers & Mathematics with Applications
3 Bulletin de la Société Mathématique de France
3 Manuscripta Mathematica
3 Tohoku Mathematical Journal. Second Series
3 LMS Journal of Computation and Mathematics
3 Mathematics
3 Open Mathematics
2 Communications in Algebra
2 Discrete Applied Mathematics
2 Indian Journal of Pure & Applied Mathematics
2 Information Processing Letters
2 Israel Journal of Mathematics
2 Journal of Statistical Physics
2 Nuclear Physics. B
2 Rocky Mountain Journal of Mathematics
2 Bulletin of the London Mathematical Society
2 Functiones et Approximatio. Commentarii Mathematici
2 Journal of Computer and System Sciences
2 Journal of the Mathematical Society of Japan
2 Journal of Statistical Planning and Inference
2 Mathematika
2 Studies in Applied Mathematics
2 Journal of Symbolic Computation
2 Journal of Complexity
2 Journal of Cryptology
2 Proceedings of the National Academy of Sciences of the United States of America
2 St. Petersburg Mathematical Journal
2 Electronic Research Announcements of the American Mathematical Society
2 Annals of Mathematics. Second Series
2 Acta Mathematica Sinica. English Series
2 Integers
2 Journal of the Australian Mathematical Society
2 Forum of Mathematics, Pi
2 Annales Mathématiques du Québec
2 Prikladnaya Diskretnaya Matematika
1 International Journal of Modern Physics A
1 Communications in Mathematical Physics
1 International Journal of Mathematical Education in Science and Technology
1 Journal of Geometry and Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Canadian Journal of Mathematics
1 Collectanea Mathematica
1 Computing
1 Fuzzy Sets and Systems
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Journal of Pure and Applied Algebra
1 Mathematics and Computers in Simulation
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Quaestiones Mathematicae
1 Tokyo Journal of Mathematics
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Advances in Applied Mathematics
1 Combinatorica
1 Acta Mathematica Hungarica
1 Bulletin of the Iranian Mathematical Society
1 Algorithmica
1 Applied Mathematics Letters
1 Publicacions Matemàtiques
...and 40 more Serials
all top 5

Cited in 38 Fields

631 Number theory (11-XX)
140 Combinatorics (05-XX)
109 Algebraic geometry (14-XX)
33 Special functions (33-XX)
31 Group theory and generalizations (20-XX)
20 Information and communication theory, circuits (94-XX)
17 Computer science (68-XX)
7 History and biography (01-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Quantum theory (81-XX)
6 Functions of a complex variable (30-XX)
5 Topological groups, Lie groups (22-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Field theory and polynomials (12-XX)
4 Statistics (62-XX)
3 Commutative algebra (13-XX)
3 Nonassociative rings and algebras (17-XX)
3 \(K\)-theory (19-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Algebraic topology (55-XX)
3 Relativity and gravitational theory (83-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Real functions (26-XX)
2 Integral transforms, operational calculus (44-XX)
2 Manifolds and cell complexes (57-XX)
2 Probability theory and stochastic processes (60-XX)
2 Numerical analysis (65-XX)
1 Associative rings and algebras (16-XX)
1 Measure and integration (28-XX)
1 Ordinary differential equations (34-XX)
1 Partial differential equations (35-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 Convex and discrete geometry (52-XX)
1 Statistical mechanics, structure of matter (82-XX)

Citations by Year

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