Edit Profile (opens in new tab) Atkin, Arthur Oliver Lonsdale (b. 1925 d. 2008) Co-Author Distance Author ID: atkin.a-oliver-l Published as: Atkin, A. O. L. External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 34 Publications since 1954 1 Contribution as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 18 Co-Authors with 18 Joint Publications 524 Co-Co-Authors all top 5 Co-Authors 17 single-authored 3 Li, Wen-Ch’ing Winnie 3 Swinnerton-Dyer, Peter 2 Hay, Louise 2 Long, Ling 2 Morain, François 1 Bernstein, Daniel Julius 1 Birch, Bryan John 1 Boros, Endre 1 Bratley, Paul 1 Cechlárová, Katarína 1 Coghlan, F. B. 1 Davenport, James Harold 1 Garvan, Frank G. 1 Hussain, S. M. 1 Lehner, Joseph 1 Liu, Tong 1 Macdonald, Ian Grant 1 McKay, John 1 O’Brien, J. N. 1 Peled, Uri N. 1 Stephens, Nelson M. 1 Tingley, D. J. 1 Vélu, Jacques all top 5 Serials 4 Mathematics of Computation 3 Proceedings of the London Mathematical Society. Third Series 3 Transactions of the American Mathematical Society 2 Bulletin of the London Mathematical Society 2 Canadian Journal of Mathematics 2 Mathematische Annalen 1 Computers & Mathematics with Applications 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series B 1 Journal of Statistical Planning and Inference 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 SIAM Journal on Computing 1 Linear Algebra and its Applications 1 The Ramanujan Journal 1 Annals of Mathematics. Second Series 1 Proceedings of the Cambridge Philosophical Society 1 Journal of the London Mathematical Society 1 Journal of Research of the National Bureau of Standards all top 5 Fields 22 Number theory (11-XX) 4 Combinatorics (05-XX) 3 Algebraic geometry (14-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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