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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
Coauthor
Papers Together
Hao Luo
4
James A. Sellers
3
Michael D. Hirschhorn
3
Zhu Cao
1
Yong-Gao Chen
1
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