Shi-Chao Chen

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All published works
Action Title Year Authors
+ Parity of coefficients in a class of q-series and their applications in partitions 2025 Shi-Chao Chen
+ PDF Chat Partition theorems and the Chinese Remainder Theorem 2024 Shi-Chao Chen
+ Linear algebra and congruences for MacMahon’s k-rowed plane partitions 2024 Shi-Chao Chen
+ Well lacunary series and modular forms of weight one 2024 Shi-Chao Chen
+ Partition congruences and vanishing coefficients of products of theta functions 2023 Shi-Chao Chen
+ The number of partitions with distinct even parts revisited 2023 Shi-Chao Chen
+ Partition theorems and the Chinese remainder theorem 2023 Shi-Chao Chen
+ Odd values of partition functions related to binary quadratic forms 2022 Shi-Chao Chen
+ On the density of the odd values of the partition function and the t-multipartition function 2021 Shi-Chao Chen
+ PDF Chat Parity of Schur's partition function 2019 Shi-Chao Chen
+ PDF Chat Odd values of the Rogers–Ramanujan functions 2018 Shi-Chao Chen
+ Vanishing of the coefficients of a half Lerch sum 2018 Shi-Chao Chen
+ Periodicity of A Partition Function Related to Making Change Modulo Prime Powers. 2017 Shi-Chao Chen
+ On generalized Schur’s partitions 2016 Zhu Cao
Shi-Chao Chen
+ Congruences and asymptotics of Andrews' singular overpartitions 2016 Shi-Chao Chen
+ Congruences for a Certain Partition Function 2014 Shi-Chao Chen
+ Arithmetic Properties of Andrews' Singular Overpartitions 2014 Shi-Chao Chen
Michael D. Hirschhorn
James A. Sellers
+ PDF Chat Arithmetic Properties of Andrews' Singular Overpartitions 2014 Shi-Chao Chen
Michael D. Hirschhorn
James A. Sellers
+ Arithmetic properties of a partition pair function 2014 Shi-Chao Chen
+ On the number of overpartitions into odd parts 2014 Shi-Chao Chen
+ On the coefficients of an eigenform 2014 Shi-Chao Chen
+ Arithmetic Properties of Andrews' Singular Overpartitions 2014 Shi-Chao Chen
Michael D. Hirschhorn
James A. Sellers
+ Ramanujan-type congruences for certain generating functions 2013 Shi-Chao Chen
+ Congruences for t -core partition functions 2013 Shi-Chao Chen
+ Congruences for the number of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>k</mml:mi></mml:math>-tuple partitions with distinct even parts 2013 Shi-Chao Chen
+ PDF Chat ODD MULTIPERFECT NUMBERS 2012 Shi-Chao Chen
Hao Luo
+ PDF Chat Distribution of the coefficients of modular forms and the partition function 2012 Shi-Chao Chen
+ PDF Chat BOUNDS FOR ODD <i>k</i>-PERFECT NUMBERS 2011 Shi-Chao Chen
Hao Luo
+ On the number of partitions with distinct even parts 2011 Shi-Chao Chen
+ Odd Multiperfect Numbers 2011 Shi-Chao Chen
Hao Luo
+ Bounds for Odd $k$-Perfect Numbers 2011 Shi-Chao Chen
Hao Luo
+ Distribution of Coefficients of Modular Forms and the Partition Function 2011 Shi-Chao Chen
+ Congruences for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>r</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> 2010 Shi-Chao Chen
+ Congruences for Overpartition k-tuples 2010 Shi-Chao Chen
+ Arithmetical properties of the number of t-core partitions 2007 Shi-Chao Chen
+ Does {αn}≤{βn} for all n imply {α}={β}? 2006 Shi-Chao Chen
+ PDF Chat On the average of the sum-of-a-divisors function 2004 Shi-Chao Chen
Yong-Gao Chen
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Introduction to Elliptic Curves and Modular Forms 1993 Neal Koblitz
10
+ The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and 𝑞-series 2003 Ken Ono
9
+ The Theory of Partitions 1984 George E. Andrews
7
+ PDF Chat Introduction to Elliptic Curves and Modular Forms 1984 Neal Koblitz
6
+ PDF Chat Divisibilité de certaines fonctions arithmétiques 2003 Jean-Pierre Serre
5
+ Arithmetic properties of the partition function 2003 Scott Ahlgren
Matthew Boylan
5
+ Nonzero coefficients of half-integral weight modular forms mod $$\ell $$ ℓ 2018 Joël Bellaïche
Ben Green
K. Soundararajan
4
+ None 1999 Michael D. Hirschhorn
James A. Sellers
4
+ PDF Chat Distribution of the Partition Function Modulo m 2000 Ken Ono
4
+ The distribution of values of the partition function in residue classes 1983 L. Mirsky
4
+ PDF Chat ELEMENTARY PROOFS OF VARIOUS FACTS ABOUT 3-CORES 2009 Michael D. Hirschhorn
James A. Sellers
4
+ PDF Chat Periodicity modulo 𝑚 and divisibility properties of the partition function 1960 Morris Newman
3
+ Hecke operators on ?0(m) 1970 A. O. L. Atkin
Joseph Lehner
3
+ PDF Chat 4-core partitions and class numbers 1997 Ken Ono
Lawrence Sze
3
+ ON THE PARITY OF PARTITION FUNCTIONS 2003 Bruce C. Berndt
Ae Ja Yee
Alexandru Zaharescu
3
+ Some Congruences for Partitions that are <i>p</i> -Cores 1993 Frank G. Garvan
3
+ On the number of partitions with distinct even parts 2011 Shi-Chao Chen
3
+ Distribution of the partition function modulo composite integers M 2000 Scott Ahlgren
3
+ On the congruence of modular forms 1987 Jacob Sturm
3
+ PDF Chat On the distribution of parity in the partition function 1967 T. R. Parkin
Daniel Shanks
3
+ Ramanujan’s Notebooks 1991 Bruce C. Berndt
3
+ Multiplicative properties of 𝜂-products. II 1993 Basil Gordon
Kim Hughes
3
+ Arithmetic properties of partitions with even parts distinct 2010 George E. Andrews
Michael D. Hirschhorn
James A. Sellers
3
+ Congruence properties for the partition function 2001 Scott Ahlgren
Ken Ono
3
+ Multiplicative properties of η-products 1989 Basil Gordon
Dale Sinor
3
+ Some Amazing Facts about 4-Cores 1996 Michael D. Hirschhorn
James A. Sellers
3
+ Topics in Analytic Number Theory 1973 Hans Rademacher
3
+ Parité des coefficients de formes modulaires 2015 Joël Bellaïche
Jean-Louis Nicolas
3
+ Cranks andt-cores 1990 Frank G. Garvan
Dongsu Kim
Dennis Stanton
3
+ New analogues of Ramanujan's partition identities 2010 Heng Huat Chan
Pee Choon Toh
3
+ PDF Chat Note on the Parity of the Partition Functions. 1959 O. Kolberg
3
+ PDF Chat Overpartitions 2003 Sylvie Corteel
Jeremy Lovejoy
3
+ Ramanujan type identities and congruences for partition pairs 2011 Pee Choon Toh
2
+ PDF Chat A Proof of some identities of Ramanujan using modular forms 1989 Anthony J. Biagioli
2
+ PDF Chat Primes of the form x2 + ny2: Fermat, class field theory, and complex multiplication 1990 David A. Cox
2
+ PDF Chat New theorems on the parity of partition functions 2004 Bruce C. Berndt
Ae Ja Yee
Alexandru Zaharescu
2
+ Modular Functions and Dirichlet Series in Number Theory 1990 Tom M. Apostol
2
+ PDF Chat Lacunarity of Dedekind η-products 1995 Basil Gordon
Sinai Robins
2
+ Partitions and indefinite quadratic forms 1988 George E. Andrews
Freeman J. Dyson
Dean Hickerson
2
+ Das asymptotische Verhalten von Summen �ber multiplikative Funktionen 1961 Eduard Wirsing
2
+ Arithmetical properties of the number of t-core partitions 2007 Shi-Chao Chen
2
+ The pa-Regular Partition Function Modulo pj 2002 David Penniston
2
+ PDF Chat Arithmetic Properties of Overpartitions into Odd Parts 2006 Michael D. Hirschhorn
James A. Sellers
2
+ PDF Chat A new result concerning the structure of odd perfect numbers 1972 Peter Hagis
Wayne L. McDaniel
2
+ PDF Chat On Schur's second partition theorem 1967 George E. Andrews
2
+ PDF Chat Congruence properties of partitions 1921 S. Ramanujan
2
+ Congruences for 2t-Core Partition Functions 2002 Matthew Boylan
2
+ PDF Chat Defect zero blocks for finite simple groups 1996 Andrew Granville
Ken Ono
2
+ PDF Chat Two Congruences Involving 4-cores 1995 Michael D. Hirschhorn
James A. Sellers
2
+ Generalizations of Schur's partition theorem 1993 Krishnaswami Alladi
Basil Gordon
2