×

Atkin, Arthur Oliver Lonsdale (b. 1925 d. 2008)

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 · IdRef

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 1,122 times in 926 Documents Cited by Year
Hecke operators on \(\Gamma_0(m)\). Zbl 0177.34901
Atkin, A. O. L.; Lehner, J.
332
1970
Some properties of partitions. Zbl 0055.03805
Atkin, A. O. L.; Swinnerton-Dyer, P.
185
1954
Twists of newforms and pseudo-eigenvalues of \(W\)-operators. Zbl 0369.10016
Atkin, A. O. L.; Li, W.-C. W.
102
1978
Elliptic curves and primality proving. Zbl 0792.11056
Atkin, A. O. L.; Morain, F.
82
1993
Proof of a conjecture of Ramanujan. Zbl 0163.04302
Atkin, A. O. L.
63
1967
Relations between the ranks and cranks of partitions. Zbl 1039.11069
Atkin, A. O. L.; Garvan, F. G.
57
2003
Modular forms on noncongruence subgroups. Zbl 0235.10015
Atkin, A. O. L.; Swinnerton-Dyer, H. P. F.
49
1971
Ramanujan congruences for \(p_{-k}(n)\). Zbl 0164.35101
Atkin, A. O. L.
42
1968
Multiplicative congruence properties and density problems for \(p(n)\). Zbl 0313.10025
Atkin, A. O. L.
33
1968
Some properties of \(p(n)\) and \(c(n)\) modulo powers of 13. Zbl 0147.30402
Atkin, A. O. L.; O’Brien, J. N.
28
1967
Some properties of partitions. II. Zbl 0083.26201
Atkin, A. O. L.; Hussain, S. M.
17
1958
On Atkin and Swinnerton-Dyer congruence relations. II. Zbl 1157.11015
Atkin, A. O. L.; Li, Wen-Ching Winnie; Long, Ling
16
2008
Prime sieves using binary quadratic forms. Zbl 1049.11137
Atkin, A. O. L.; Bernstein, D. J.
16
2004
A note on ranks and conjugacy of partitions. Zbl 0144.25203
Atkin, A. O. L.
16
1966
Weierstrass points at cusps of \(\Gamma_ 0(n)\). Zbl 0145.31904
Atkin, A. O. L.
14
1967
Finding suitable curves for the elliptic curve method of factorization. Zbl 0815.11063
Atkin, A. O. L.; Morain, F.
14
1993
Some computations for \(m\)-dimensional partitions. Zbl 0157.03103
Atkin, A. O. L.; Bratley, P.; Macdonald, I. G.; McKay, J. K. S.
11
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
7
2013
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.
6
1965
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
4
1971
Construction of Knut Vik designs. Zbl 0386.05015
Atkin, A. O. L.; Hay, L.; Larson, R. G.
4
1977
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
Congruences for modular forms. Zbl 0186.36302
Atkin, A. O. L.
2
1968
Congruence Hecke operators. Zbl 0222.12019
Atkin, A. O. L.
2
1969
Remark on a paper of Piff and Welsh. Zbl 0263.05031
Atkin, A. O. L.
2
1972
Powers of circulants in bottleneck algebra. Zbl 0879.15012
Atkin, A. O. L.; Boros, Endre; Cechlárová, Katarína; Peled, Uri N.
2
1997
Numerical tables on elliptic curves. Prepared by H. P. F. Swinnerton-Dyer, N. M. Stephens, James Davenport, J. Vélu, F. B. Coghlan, A. O. L. Atkin and D. J. Tingley. Zbl 1214.11006
1
1975
Note on a paper of Cheema and Gordon. Zbl 0149.01904
Atkin, A. O. L.
1
1967
Explicit gap series at cusps of \(\Gamma(p)\). Zbl 0157.09301
Atkin, A. O. L.
1
1968
Ramanujan congruences for \(p_{-k}(n)\): Corrigendum. Zbl 0169.05904
Atkin, A. O. L.
1
1969
Note on a paper of Birch. Zbl 0239.10022
Atkin, A. O. L.
1
1969
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
7
2013
On Atkin and Swinnerton-Dyer congruence relations. II. Zbl 1157.11015
Atkin, A. O. L.; Li, Wen-Ching Winnie; Long, Ling
16
2008
Prime sieves using binary quadratic forms. Zbl 1049.11137
Atkin, A. O. L.; Bernstein, D. J.
16
2004
Relations between the ranks and cranks of partitions. Zbl 1039.11069
Atkin, A. O. L.; Garvan, F. G.
57
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.
82
1993
Finding suitable curves for the elliptic curve method of factorization. Zbl 0815.11063
Atkin, A. O. L.; Morain, F.
14
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.
102
1978
Construction of Knut Vik designs. Zbl 0386.05015
Atkin, A. O. L.; Hay, L.; Larson, R. G.
4
1977
Numerical tables on elliptic curves. Prepared by H. P. F. Swinnerton-Dyer, N. M. Stephens, James Davenport, J. Vélu, F. B. Coghlan, A. O. L. Atkin and D. J. Tingley. Zbl 1214.11006
1
1975
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.
49
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
4
1971
Hecke operators on \(\Gamma_0(m)\). Zbl 0177.34901
Atkin, A. O. L.; Lehner, J.
332
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
Ramanujan congruences for \(p_{-k}(n)\): Corrigendum. Zbl 0169.05904
Atkin, A. O. L.
1
1969
Note on a paper of Birch. Zbl 0239.10022
Atkin, A. O. L.
1
1969
Ramanujan congruences for \(p_{-k}(n)\). Zbl 0164.35101
Atkin, A. O. L.
42
1968
Multiplicative congruence properties and density problems for \(p(n)\). Zbl 0313.10025
Atkin, A. O. L.
33
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.
63
1967
Some properties of \(p(n)\) and \(c(n)\) modulo powers of 13. Zbl 0147.30402
Atkin, A. O. L.; O’Brien, J. N.
28
1967
Weierstrass points at cusps of \(\Gamma_ 0(n)\). Zbl 0145.31904
Atkin, A. O. L.
14
1967
Some computations for \(m\)-dimensional partitions. Zbl 0157.03103
Atkin, A. O. L.; Bratley, P.; Macdonald, I. G.; McKay, J. K. S.
11
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.
16
1966
On pseudo-squares. Zbl 0147.02703
Atkin, A. O. L.
6
1965
Some properties of partitions. II. Zbl 0083.26201
Atkin, A. O. L.; Hussain, S. M.
17
1958
Some properties of partitions. Zbl 0055.03805
Atkin, A. O. L.; Swinnerton-Dyer, P.
185
1954
all top 5

Cited by 968 Authors

22 Bringmann, Kathrin
19 Garvan, Frank G.
18 Ono, Ken
17 Andrews, George Eyre
17 Mao, Renrong
14 Jennings-Shaffer, Chris
12 Chan, Song Heng
12 Long, Ling
11 Xia, Ernest X. W.
9 Lovejoy, Jeremy
9 Ramakrishnan, Balakrishnan
9 Tang, Dazhao
9 Wang, Liuquan
8 Folsom, Amanda L.
8 Kim, Byungchan
8 Kim, Chang Heon
8 Rhoades, Robert C.
7 Ahlgren, Scott D.
7 Hasegawa, Yuji
7 Jorgenson, Jay Alan
7 Li, Wen-Ch’ing Winnie
7 Morain, François
7 Smajlović, Lejla
7 Swisher, Holly
7 Young, Matthew P.
6 Atkin, Arthur Oliver Lonsdale
6 Chan, Heng Huat
6 Chen, Shichao
6 Choi, Dohoon
6 Du, Julia Q. D.
6 Lewis, Richard P.
6 Nelson, Paul D.
6 Pizer, Arnold K.
6 Radu, Cristian-Silviu
6 Silverberg, Alice
6 Then, Holger
6 Yao, Olivia Xiang Mei
5 Baruah, Nayandeep Deka
5 Booker, Andrew R.
5 Chen, William Yong-Chuan
5 Chern, Shane
5 Franc, Cameron
5 Govindarajan, Suresh
5 Hickerson, Dean R.
5 Jeon, Daeyeol
5 Ji, Kathy Qing
5 Kang, Soon-Yi
5 Lang, Mong Lung
5 Lin, Bernard L. S.
5 Osburn, Robert
5 Paule, Peter
5 Purkait, Soma
5 Rolen, Larry
5 Rubin, Karl Cooper
5 Sahu, Brundaban
5 Schoof, René
5 Sutherland, Andrew V.
5 Tu, Fang-Ting
4 Berkovich, Alexander
4 Berndt, Bruce Carl
4 Boylan, Matthew
4 Choi, Soyoung
4 Dixit, Atul
4 Dujella, Andrej
4 Enge, Andreas
4 Gu, Nancy Shan Shan
4 Kazalicki, Matija
4 Kronholm, Brandt
4 Mahlburg, Karl
4 Mason, Geoffrey
4 Mercuri, Pietro
4 Momose, Fumiyuki
4 Mortenson, Eric T.
4 Neururer, Michael O.
4 Saikia, Nipen
4 Shemanske, Thomas R.
4 Singh, Anup Kumar
4 Smoot, Nicolas Allen
4 Yang, Yifan
4 Zang, Wenston J. T.
3 Andersen, Nickolas
3 Bars Cortina, Francesc
3 Baruch, Ehud Moshe
3 Bernstein, Daniel Julius
3 Billerey, Nicolas
3 Corteel, Sylvie
3 Cui, Su-Ping
3 Dabbaghian, Vahid
3 Delaunay, Christophe
3 Dicks, Robert
3 Dieulefait, Luis Victor
3 Fan, Yan
3 Galbraith, Steven D.
3 Gonzalez Rovira, Josep
3 Grantham, Jon
3 Khan, Rizwanur
3 Kıral, Eren Mehmet
3 Kohnen, Winfried
3 Koike, Masao
3 Kumar, Balesh
...and 868 more Authors
all top 5

Cited in 172 Serials

115 Journal of Number Theory
72 The Ramanujan Journal
54 International Journal of Number Theory
48 Mathematics of Computation
35 Advances in Mathematics
31 Proceedings of the American Mathematical Society
31 Transactions of the American Mathematical Society
22 Research in Number Theory
19 Journal de Théorie des Nombres de Bordeaux
15 Compositio Mathematica
15 Journal of Combinatorial Theory. Series A
14 Discrete Mathematics
13 Duke Mathematical Journal
12 Experimental Mathematics
11 Acta Arithmetica
11 Nagoya Mathematical Journal
11 Proceedings of the Japan Academy. Series A
10 Bulletin of the Australian Mathematical Society
10 Journal of Algebra
10 Mathematische Annalen
10 Research in the Mathematical Sciences
9 Inventiones Mathematicae
9 Mathematische Zeitschrift
9 Annals of Combinatorics
8 Journal of Mathematical Analysis and Applications
8 Archiv der Mathematik
8 Forum Mathematicum
7 Journal of the American Mathematical Society
6 Journal of Soviet Mathematics
6 Bulletin of the American Mathematical Society. New Series
6 Journal of High Energy Physics
6 Algebra & Number Theory
5 Rocky Mountain Journal of Mathematics
5 Glasgow Mathematical Journal
5 Journal für die Reine und Angewandte Mathematik
5 Advances in Applied Mathematics
5 The Electronic Journal of Combinatorics
5 Journal of the European Mathematical Society (JEMS)
4 Indian Journal of Pure & Applied Mathematics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Annales de l’Institut Fourier
4 Bulletin of the London Mathematical Society
4 European Journal of Combinatorics
4 Open Mathematics
3 Computers & Mathematics with Applications
3 Israel Journal of Mathematics
3 Nuclear Physics. B
3 Bulletin de la Société Mathématique de France
3 Manuscripta Mathematica
3 Tôhoku Mathematical Journal. Second Series
3 Journal of Complexity
3 Annals of Mathematics. Second Series
3 LMS Journal of Computation and Mathematics
3 Integers
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Forum of Mathematics, Pi
3 Mathematics
2 Communications in Algebra
2 Communications in Mathematical Physics
2 Discrete Applied Mathematics
2 Information Processing Letters
2 Journal of Statistical Physics
2 American Journal of Mathematics
2 Canadian Mathematical Bulletin
2 Colloquium Mathematicum
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 Quaestiones Mathematicae
2 Studies in Applied Mathematics
2 Bulletin of the Korean Mathematical Society
2 Bulletin of the Iranian Mathematical Society
2 Journal of Symbolic Computation
2 Publicacions Matemàtiques
2 Journal of Cryptology
2 Journal of the Ramanujan Mathematical Society
2 Proceedings of the National Academy of Sciences of the United States of America
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 St. Petersburg Mathematical Journal
2 Electronic Research Announcements of the American Mathematical Society
2 Arab Journal of Mathematical Sciences
2 Acta Mathematica Sinica. English Series
2 Journal of the Australian Mathematical Society
2 Journal of the Institute of Mathematics of Jussieu
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of Physics A: Mathematical and Theoretical
2 Involve
2 Forum of Mathematics, Sigma
2 Annales Mathématiques du Québec
2 Transactions of the American Mathematical Society. Series B
2 Prikladnaya Diskretnaya Matematika
2 La Matematica
1 International Journal of Modern Physics A
1 Computer Physics Communications
1 International Journal of Mathematical Education in Science and Technology
1 Lithuanian Mathematical Journal
1 Mathematical Methods in the Applied Sciences
1 Journal of Geometry and Physics
...and 72 more Serials
all top 5

Cited in 40 Fields

848 Number theory (11-XX)
211 Combinatorics (05-XX)
133 Algebraic geometry (14-XX)
41 Special functions (33-XX)
33 Group theory and generalizations (20-XX)
27 Information and communication theory, circuits (94-XX)
22 Computer science (68-XX)
15 Quantum theory (81-XX)
10 Functions of a complex variable (30-XX)
8 Topological groups, Lie groups (22-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 History and biography (01-XX)
7 Nonassociative rings and algebras (17-XX)
5 Relativity and gravitational theory (83-XX)
4 Field theory and polynomials (12-XX)
4 \(K\)-theory (19-XX)
4 Statistics (62-XX)
4 Numerical analysis (65-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Commutative algebra (13-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Algebraic topology (55-XX)
3 Probability theory and stochastic processes (60-XX)
2 Associative rings and algebras (16-XX)
2 Approximations and expansions (41-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Integral transforms, operational calculus (44-XX)
2 Manifolds and cell complexes (57-XX)
1 General and overarching topics; collections (00-XX)
1 Category theory; homological algebra (18-XX)
1 Real functions (26-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 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

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