David Penniston

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All published works
Action Title Year Authors
+ -REGULAR PARTITIONS AND MODULAR FORMS WITH COMPLEX MULTIPLICATION 2022 David Penniston
+ 11-Regular partitions and a Hecke eigenform 2019 David Penniston
+ THE 7-REGULAR AND 13-REGULAR PARTITION FUNCTIONS MODULO 3 2016 Eric Boll
David Penniston
+ Congruences for ℓ-regular partition functions modulo 3 2011 David Furcy
David Penniston
+ PDF Chat Average Frobenius distributions for elliptic curves over abelian extensions 2011 Neil J. Calkin
Bryan Faulkner
Kevin James
Matt King
David Penniston
+ PDF Chat Arithmetic properties of non-harmonic weak Maass forms 2008 Kathrin Bringmann
David Penniston
+ ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS 2008 David Penniston
+ PDF Chat $p$-adic properties of Maass forms arising from theta series 2008 Sharon Anne Garthwaite
David Penniston
+ ℓ-Divisibility of ℓ-regular partition functions 2007 Brian Dandurand
David Penniston
+ PDF Chat Congruences for $\sb 3F\sb 2$ hypergeometric functions over finite fields 2002 Ken Ono
David Penniston
+ The pa-Regular Partition Function Modulo pj 2002 David Penniston
+ Zeta functions of an infinite family of K 3 surfaces 2002 Scott Ahlgren
Ken Ono
David Penniston
+ PDF Chat 3-regular partitions and a modular 𝐾3 surface 2001 Jeremy Lovejoy
David Penniston
+ The 2-Adic Behavior of the Number of Partitions into Distinct Parts 2000 Ken Ono
David Penniston
+ Unipotent groups associated to reduced curves 2000 David Penniston
+ Unipotent groups and curves of genus two 2000 David Penniston
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ None 1997 Basil Gordon
Ken Ono
8
+ PDF Chat Distribution of the Partition Function Modulo m 2000 Ken Ono
6
+ The arithmetic of partitions into distinct parts 2001 Scott Ahlgren
Jeremy Lovejoy
5
+ PDF Chat Introduction to Elliptic Curves and Modular Forms 1984 Neal Koblitz
4
+ PDF Chat CONGRUENCES FOR THE COEFFICIENTS OF WEAKLY HOLOMORPHIC MODULAR FORMS 2006 Stephanie Treneer
4
+ PDF Chat 3-regular partitions and a modular 𝐾3 surface 2001 Jeremy Lovejoy
David Penniston
4
+ ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS 2008 David Penniston
4
+ PDF Chat Sur la lacunarité des puissances de η 1985 Jean-Pierre Serre
3
+ Distribution of the partition function modulo composite integers M 2000 Scott Ahlgren
3
+ The 2-Adic Behavior of the Number of Partitions into Distinct Parts 2000 Ken Ono
David Penniston
3
+ On the congruence of modular forms 1987 Jacob Sturm
3
+ The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and 𝑞-series 2003 Ken Ono
3
+ PDF Chat Introduction to Elliptic Curves and Modular Forms 1993 Neal Koblitz
3
+ Arithmetic of the 13-regular partition function modulo 3 2010 John J. Webb
3
+ ℓ-Divisibility of ℓ-regular partition functions 2007 Brian Dandurand
David Penniston
3
+ PDF Chat Divisibilité de certaines fonctions arithmétiques 2003 Jean-Pierre Serre
3
+ Congruence properties for the partition function 2001 Scott Ahlgren
Ken Ono
3
+ Divisibility and Distribution of Partitions into Distinct Parts 2001 Jeremy Lovejoy
3
+ Twists of newforms and pseudo-eigenvalues ofW-operators 1978 A. O. L. Atkin
W Li
3
+ Galois properties of torsion points on abelian varieties 1980 Nicholas M. Katz
2
+ THE 7-REGULAR AND 13-REGULAR PARTITION FUNCTIONS MODULO 3 2016 Eric Boll
David Penniston
2
+ Distribution of the partition function modulo m 2000 Ken Ono
2
+ The lost notebook and other unpublished papers 1989 Srinivasa Ramanujan Aiyangar
George E. Andrews
2
+ The Arithmetic of Elliptic Curves 2009 Joseph H. Silverman
2
+ Number Theory III 1991 Serge Lang
2
+ PDF Chat Partition identities involving gaps and weights 1997 Krishnaswami Alladi
2
+ On the prime-to-$p$ part of the groups of connected components of Néron models 1994 Bas Edixhoven
2
+ PDF Chat The construction of modular forms as products of transforms of the Dedekind eta function 1990 Anthony J. Biagioli
2
+ PDF Chat Dyson’s ranks and Maass forms 2010 Kathrin Bringmann
Ken Ono
2
+ PDF Chat q-series and weight 3/2 Maass forms 2009 Kathrin Bringmann
Amanda Folsom
Ken Ono
2
+ The f(q) mock theta function conjecture and partition ranks 2006 Kathrin Bringmann
Ken Ono
2
+ Arithmetic properties of the partition function 2003 Scott Ahlgren
Matthew Boylan
2
+ Abelian varieties having purely additive reduction 1985 H. W. Lenstra
Frans J. Oort
2
+ CONGRUENCES FOR DYSON'S RANKS 2009 Kathrin Bringmann
1
+ PDF Chat $p$-adic properties of Maass forms arising from theta series 2008 Sharon Anne Garthwaite
David Penniston
1
+ PDF Chat A combinatorial correspondence related to Göllnitz’ (big) partition theorem and applications 1997 Krishnaswami Alladi
1
+ Gauss and Jacobi sums 1998 Bruce C. Berndt
Kenneth S. Williams
Ronald J. Evans
1
+ PDF Chat On the Distribution of Supersingular Primes 1996 Étienne Fouvry
M. Ram Murty
1
+ Lehrbuch der Algebra 1921 Heinrich Weber
1
+ Distribution of integral Fourier Coefficients of a Modular Form of Half Integral Weight Modulo Primes 2007 Dohoon Choi
1
+ On the Theorems of Watson and Dragonette for Ramanujan's Mock Theta Functions 1966 George E. Andrews
1
+ Curves Over Discrete Valuation Rings 1968 Stephen Lichtenbaum
1
+ Mock Theta Functions Ranks and Maass Forms 2008 Ken Ono
1
+ Multiplicative Number Theory 1980 H. Davenport
1
+ Supersingular primes common to two elliptic curves 1995 Étienne Fouvry
M. Ram Murty
1
+ Lifting cusp forms to Maass forms with an application to partitions 2007 Kathrin Bringmann
Ken Ono
1
+ PDF Chat Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus 1976 Friedrich Hirzebruch
Don Zagier
1
+ PDF Chat Average frobenius distributions for elliptic curves with 3-torsion 2004 Kevin James
1
+ PDF Chat Average Frobenius distributions for elliptic curves with nontrivial rational torsion 2005 Jonathan Battista
Jonathan Bayless
Dmitriy Ivanov
Kevin James
1
+ Compact Complex Surfaces 1984 Wolf Barth
Chris Peters
A. Van de Ven
1