A. O. L. Atkin

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All published works

Action	Title	Year	Authors
+ PDF Chat	Galois representations with quaternion multiplication associated to noncongruence modular forms	2013	A. O. L. Atkin Wen-Ching Winnie Li Tong Liu Линг Лонг
+	Galois Representations with Quaternion Multiplications Associated to Noncongruence Modular Forms	2010	A. O. L. Atkin Wen-Ching Winnie Li Tong Liu Линг Лонг
+ PDF Chat	On Atkin and Swinnerton-Dyer congruence relations (2)	2007	A. O. L. Atkin Wen-Ching Winnie Li Линг Лонг
+	On Atkin and Swinnerton-Dyer Congruence Relations (2)	2005	A. O. L. Atkin Wen-Ching Winnie Li Линг Лонг
+ PDF Chat	Prime sieves using binary quadratic forms	2003	A. O. L. Atkin Daniel J. Bernstein
+ PDF Chat	Relations Between the Ranks and Cranks of Partitions	2003	A. O. L. Atkin Frank G. Garvan
+	None	2003	A. O. L. Atkin Frank G. Garvan
+	Relations between the ranks and cranks of partitions	2002	A. O. L. Atkin Frank G. Garvan
+	Powers of circulants in bottleneck algebra	1997	A. O. L. Atkin Endre Boros Kataŕına Cechlárová Uri N. Peled
+ PDF Chat	Elliptic curves and primality proving	1993	A. O. L. Atkin François Morain
+ PDF Chat	Finding Suitable Curves for the Elliptic Curve Method of Factorization	1993	A. O. L. Atkin François Morain
+ PDF Chat	Obituary: Margaret Hilary Millington (née Ashworth)	1985	A. O. L. Atkin
+	On a Primality Test of Solovay and Strassen	1982	A. O. L. Atkin Richard G. Larson
+	Twists of newforms and pseudo-eigenvalues ofW-operators	1978	A. O. L. Atkin W Li
+	The Number of Subgroups of the Classical Modular Group of Index N.	1978	D. S. A. O. L. Atkin
+	On a functional equation	1973	A. O. L. Atkin
+	Modular forms on noncongruence subgroups	1971	A. O. L. Atkin H. P. F. Swinnerton-Dyer
+	Computers in number theory : proceedings of the Science Research Council Atlas Symposium no. 2 held at Oxford, from 18-23 August, 1969	1971	A. O. L. Atkin B. J. Birch
+	Hecke operators on ?0(m)	1970	A. O. L. Atkin Joseph Lehner
+ PDF Chat	Ramanujan Congruences for <i>p–k(n)</i>: Corrigendum	1969	A. O. L. Atkin
+	Congruence Hecke operators	1969	A. O. L. Atkin
+	Multiplicative Congruence Properties and Density Problems for <i>p(n)</i>	1968	A. O. L. Atkin
+	Explicit Gap Series at Cusps of Γ(p)	1968	A. O. L. Atkin
+ PDF Chat	Explicit gap series at cusps of Γ(𝑝)	1968	A. O. L. Atkin
+ PDF Chat	Ramanujan Congruences for <i>p<sub>-k</sub></i>(<i>n</i>)	1968	A. O. L. Atkin
+	Some computations for <i>m</i>-dimensional partitions	1967	A. O. L. Atkin Paul Bratley I. G. Macdonald John McKay
+ PDF Chat	Some properties of $p(n)$ and $c(n)$ modulo powers of $13$	1967	A. O. L. Atkin John Noel O’Brien
+	Some Properties of p(n) and c(n) Modulo Powers of 13	1967	A. O. L. Atkin J. N. O'Brien
+ PDF Chat	Proof of a conjecture of Ramanujan	1967	A. O. L. Atkin
+	Weierstrass Points at Cusps of Γ 0 (n)	1967	A. O. L. Atkin
+	Tables of p k (n)	1967	D. S. Margaret Ashworth A. O. L. Atkin
+	A NOTE ON RANKS AND CONJUGACY OF PARTITIONS	1966	A. O. L. Atkin
+	Some Properties of Partitions	1958	A. O. L. Atkin S. M. Hussain
+ PDF Chat	Some properties of partitions. II	1958	A. O. L. Atkin Sajjad Hussain
+	Some Properties of Partitions	1954	A. O. L. Atkin Peter Swinnerton‐Dyer

Common Coauthors

Coauthor	Papers Together
Линг Лонг	4
Frank G. Garvan	3
François Morain	2
Wen-Ching Winnie Li	2
Tong Liu	2
B. J. Birch	1
Peter Swinnerton‐Dyer	1
W Li	1
D. S.	1
Sajjad Hussain	1
Endre Boros	1
John McKay	1
J. N. O'Brien	1
Wen-Ching Winnie Li	1
S. M. Hussain	1
H. P. F. Swinnerton-Dyer	1
Paul Bratley	1
Uri N. Peled	1
Daniel J. Bernstein	1
D. S.	1
Wen Ching Winnie Li	1
Katarı́na Cechlárová	1
Richard G. Larson	1
John Noel O’Brien	1
Joseph Lehner	1
Margaret Ashworth	1
I. G. Macdonald	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Introduction to the Arithmetic Theory of Automorphic Functions	1972	Marvin Tretkoff Goro Shimura	4
+	Modular forms and de Rham cohomology; Atkin-Swinnerton-Dyer congruences	1985	A. J. Scholl	4
+	Some Properties of Partitions	1954	A. O. L. Atkin Peter Swinnerton‐Dyer	4
+	On Atkin–Swinnerton-Dyer congruence relations	2004	Wen-Ching Winnie Li Линг Лонг Zifeng Yang	4
+	Modular Forms on Noncongruence Subgroups	1987	A. J. Scholl	4
+	Some properties of partitions, with special reference to primes other than 5, 7 and 11	1965	John Noel O’Brien	3
+ PDF Chat	Some properties of partitions. II	1958	A. O. L. Atkin Sajjad Hussain	3
+ PDF Chat	Endomorphism algebras of motives attached to elliptic modular forms	2003	Alexander F. Brown Eknath Ghate	2
+	How to facet a gemstone: from potential modularity to the proof of Serre's modularity conjecture	2007	Luis Dieulefait	2
+	Modular forms on noncongruence subgroups and Atkin-Swinnerton-Dyer relations	2008	Liqun Fang J. William Hoffman Benjamin Linowitz Andrew Rupinski Helena Verrill	2
+	The Theory of Partitions	1984	George E. Andrews	2
+ PDF Chat	On Serre’s conjecture for 2-dimensional mod p representations of Gal(ℚ∕ℚ)	2009	Chandrashekhar Khare Jean-Pierre Wintenberger	2
+ PDF Chat	Representations Induced in an Invariant Subgroup	1937	A. H. Clifford	2
+	None	2005	Eknath Ghate Enrique González–Jiménez Jordi Quer	2
+	Modularity of 2-adic Barsotti-Tate representations	2009	Mark Kisin	2
+	On the Picard-Fuchs equation and the formal brauer group of certain ellipticK3-surfaces	1985	Jan Stienstra Frits Beukers	2
+ PDF Chat	Modular Forms on Noncongruence Subgroups and Atkin–Swinnerton-Dyer Relations	2010	Liqun Fang J. William Hoffman Benjamin Linowitz Andrew Rupinski Helena Verrill	2
+	A Course in Arithmetic	1973	Jean Pierre Serre	2
+	Relations Between the Rank and the Crank Modulo 9	1992	Richard P. Lewis	2
+	Ramanujan’s Notebooks: Part V	1997	Bruce C. Berndt	2
+ PDF Chat	New combinatorial interpretations of Ramanujan’s partition congruences mod 5,7 and 11	1988	Frank G. Garvan	2
+ PDF Chat	Nearly ordinary deformations of irreducible residual representations	2001	Claire Skinner Andrew Wiles	2
+ PDF Chat	Proof of a conjecture of Ramanujan	1967	A. O. L. Atkin	2
+ PDF Chat	On the Hecke Algebra of a Noncongruence Subgroup	1997	A. J. Scholl	2
+	On a system of modular functions connected with the Ramanujan identities	1956	N. J. Fine	2
+ PDF Chat	Modularity of the Rankin-Selberg L-Series, and Multiplicity One for SL(2)	2000	Dinakar Ramakrishnan	2
+	BASE CHANGE FOR GL(2)	1980	R. P. Langlands	2
+ PDF Chat	Further Identities and Congruences for the Coefficients of Modular Forms	1958	Morris Newman	2
+	Lehrbuch der Algebra	1921	Heinrich Weber	2
+ PDF Chat	Dyson’s crank of a partition	1988	George E. Andrews Frank G. Garvan	2
+ PDF Chat	The Fontaine-Mazur conjecture for $ {GL}_2$	2009	Mark Kisin	2
+ PDF Chat	Modularity of 2-dimensional Galois representations	2005	Mark Kisin	2
+ PDF Chat	None	2003	Christophe Breuil	2
+	Modular Functions and Dirichlet Series in Number Theory	1990	Tom M. Apostol	2
+	Mappings and symmetries of partitions	1989	Freeman J. Dyson	2
+	On some relations between the rank and the crank	1992	Richard P. Lewis	2
+ PDF Chat	Factoring Integers with Elliptic Curves	1987	H. W. Lenstra	2
+ PDF Chat	The Tamagawa number conjecture of adjoint motives of modular forms	2004	Fred Diamond Matthias Flach Li Guo	2
+	Residually reducible representations and modular forms	1999	Christopher Skinner Andrew Wiles	2
+ PDF Chat	On elliptic modular surfaces	1972	Tetsuji Shioda	2
+	�ber die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen	1967	Andr� Weil	2
+ PDF Chat	Introduction to Elliptic Curves and Modular Forms	1993	Neal Koblitz	2
+	Vanishing cycles and non-classical parabolic cohomology	1996	A. J. Scholl	2
+ PDF Chat	On Atkin and Swinnerton-Dyer congruence relations (2)	2007	A. O. L. Atkin Wen-Ching Winnie Li Линг Лонг	2
+	On some relations for the rank moduli 9 and 12	1992	Nicolas Santa Gadea	2
+	Twists of modular forms and endomorphisms of Abelian varieties	1980	Kenneth A. Ribet	2
+	Some Observations on Dyson's New Symmetries of Partitions	2002	Alexander Bérkovich Frank G. Garvan	2
+ PDF Chat	The crank of partitions mod 8,9 and 10	1990	Frank G. Garvan	2
+	The l-adic representations attached to a certain noncongruence subgroup.	1988	A.J. Scholl	2
+ PDF Chat	Modularity of Abelian Surfaces with Quaternionic Multiplication	2003	Luis Dieulefait	2