 Simple
Ideas for Famous Problems, 1996.
 Various
Numbertheoretic Quotients and Related Congruences, 2000.
 Recent
Progress on Covers of the Integers and Their Applications, 2000.
 On
Hilbert's Tenth Problem and Related Topics, 2000.
 Recent
Progress on Combinatorial Number Theory (Chinese), 2001.
 Equalities and Inequalities Related to Covers
of Z or Groups, 2002.
 On the Structure of Periodic
Arithmetical Maps, 2002.
 New Results on Subset Sums, 2002.
 On Zerosum Problems, 2002.
 On the Sum $\sum_{k\equiv r (mod m)}\binom nk$
and Related Results, 2002.
 Introduction to
Bernoulli and Euler Polynomials, 2002.
 Problems and Results
in Combinatorial Number Theory, 2002.
 Sumsets with Polynomial Restrictions, 2002.
 The Magic of Mathematics (Chinese), 2002, 2006.
 How to Unify Covering Systems, Restricted Sumsets
and Zerosum Problems, 2003.
 Recent Progress on Zerosum Problems and
Snevily's Conjecture, 2004.
 Covering Systems
and their Connections to Zerosums, 2004.
 On Disjoint Systems of Residue Classes
or Cosets of Subgroups, 2004.
 On Various Combinatorial Sums and
Related Identities, 2004.
 Two LocalGlobal Theorems and a
Powerful Formula, 2004.
 Groups and Combinatorial Number Theory, 2004.
 On Some Conjectures of ErdosHeilbronn,
Lev and Snevily, 2004, 2005.
 Problems and Results on Covering Systems, 2005.
 Some Congruences Motivated by Algebraic Topology, 2005.
 Some Curious Results on Bernoulli and Euler Polynomials, 2005, 2006.
 A Survey of Zerosum Problems on Abelian Groups, 2006.
 Recent Progress on Congruences involving
Binomial Coefficients, 2006.
 Covering Systems and Periodic Arithmetical
Functions, 2006.
 Combinatorial Aspects of Covers of Groups by
Cosets or Subgroups, 2006.
 Curious Identities and Congruences
involving Bernoulli Polynomials, 2006.
 Combinatorial Aspects of Szemeredi's Theorem, 2007.
 Additive Combinatorics and Latin Transversals, 2007.
 Sums of Squares and Triangular Numbers, and Rado
Numbers for Linear Equations, 2007.
 An Additive Theorem Related to Latin Transversals, 2007.
 Some Famous Problems and Related Results
in Combinatorial Number Theory, 2007.
 Groups in Combinatorial Number Theory, 2007.
 Various Extensions of Some Basic Results
in Combinatorial Number Theory, 2008.
 Recent Problems and Results Involving Binomial Coefficients, 2008.
 An Extremal Problem on Covers of Abelian Groups, 2008.
 Study Covers of Groups via Characters and Number Theory, 2008.
 On Representations of Integers Involving Triangular Numbers, 2008.
 Some New Conjectures Involving Primes, 2009.
 Problems and Results in Additive Combinatorics, 2009.
 Polygonal Numbers, Primes and Ternary Quadratic Forms, 2009.
 Combinatorial Number Theory in China, 2009.
 On the DKSS Technique and the DKSS Conjecture, 2010.
 Some Sophisticated Applications
of the Combinatorial Nullstellensatz, 2010.
 Conjectures and Results on Super Congruences, 2010.
 Conjectures for Super Congruences and Series for π and Other Constants (45 minutes version), 2010.
 Conjectures for Super Congruences and Series for π and Other Constants
(30 minutes version), 2010.
 Super Congruences involving Binomial Coefficients
and New Series for some Famous Constants, 2010.
 Arithmetic Properties of Combinatorial Quantities, 2010.
 On Divisibility concerning Binomial Coefficients, 2010.
 Correspondence between Series and Congruences, 2010.
 On Weighted Extension of the ErdosHeilbronn Conjecture, 2011.
 On the DKSS Conjecture for Finite Abelian Groups, 2011.
 Number Theory behind Series for Powers of π, 2011.
 Conjectures and Results on
x^{2} mod
p^{2} with
4p=x^{2}+dy^{2}, 2011.
 Combinatorial Congruences via the
Zeilberger Algorithm, 2011.
 On Arithmetic Properties of
Bell Numbers, Delannoy Numbers and Schroder Numbers, 2011.
 Conjectures and Results on Generalized
Trinomial Coefficients and Motzkin Numbers, 2011.
 Some Sophisticated Congruences
involving Fibonacci Numbers, 2011.
 Some of my Numbertheoretic
Conjectures and related Progress, 2011.
 Historical Remarks on my Conjectural
Congruences and Series for 1/π, 2011.
 Primes from the Viewpoint of Combinatorics, 2012.
 padic Congruences Motivated by Series, 2012.
 Various New Observations about Primes, 2012.
 Conjectures involving Arithmetical Sequences, 2012.
 The Riddle of Primes, 2012.
 Apery Numbers, Franel Numbers and Binary Quadratic Forms, 2013.
 Some New Representation Problems involving Primes, 2013.
 Combinatorial Congruences via Zeilberger's Algorithm and Trees with Prime Vertices, 2013.
 Some Open Combinatorial Congruences, 2013.
 Write n = k + m with f(k,m) Prime, 2013.
 Congruences for Franel Numbers, 2014.
 Problems on Combinatorial Properties of Primes, 2014.
 On Some Arithmetic Functions, 2014.
 Towards the Twin Prime Conjecture, 2014.
 Supercongruences Motivated by e, 2014.
 On Generalized Central Trinomial Coefficients, 2015.
 On Universal Sums involving Polygonal Numbers, 2015.
 New Divisibility Results on Certain Sums of Binomial Coefficients, 2015.
 On g_n(x)=sum_{k=0}^n binom(n,k)^2*binom(2k,k)*x^k and Related Topics, 2015.
 On Primes in Arithmetic Progressions, 2015.
 Some New Problems and Results in Combinatorial and Additive Number Theory, 2016.
 Some New Diophantine Problems, 2016.
 A New Result in Combinatorial Number Theory, 2016.
 Combinatorial Quantities and Arithmetic Means, 2016.
 Refining Lagrange's Foursquare Theorem, 2016.
 The 135Conjecture and Related Topics, 20162017.
 The ThreeSquare Theorem and its Application, 2017.
 Restricted Sums of Three or Four Squares, 2017.
 Further Results on Hilbert's Tenth Problem, 2017.
 On Hilbert's Tenth Problem, 2017.
 A Survey of Arithmetic Properties of Combinatorial Quantities, 2017.
 On Snevily's Conjecture and Related Topics, 2017.
 Introduction to Lucas Sequences, 2017.
 On Universal Sums x(ax+b)/2+y(cy+d)/2+z(ez+f)/2, 2017.
 On Covers of Groups by Cosets, 2018.
 Problems and Results on Sums of Squares, 2018.
 Determinants, Permutations and Additive Combinatorics, 2018.
 Historical Remarks on my Conjectural Series, 20182019.
 On Permutations and Identities related to Quadratic Residues, 2018.
 On Some Determinants involving Legendre or Jacobi Symbols, 20182019.
 Problems and Results on Permutations, 2019.
 Riddles of Representations of Integers, 2019.
 Computability and Undecidability, 2019.
 Trigonometric Identities and Quadratic Residues, 2019.
 Proof of Some Conjectures involving Quadratic Residues, 2020.
 A Lecture on Cantor's Set Theory (in Chinese), 2020.
 A Lecture on Russell's Paradox and the Third Mathematical Crisis (in Chinese), 2020.
 New Series for Powers of π and Their qAnalogues, 2020.
 Introduction to Combinatorial Number Theory (I)  Bernoulli Numbers and Euler Numbers, 2020
 Introduction to Combinatorial Number Theory (II)  Combinatorial Congruences, 2020
 Introduction to Combinatorial Number Theory (III)  πSeries and Their padic Analogues, 2020
 Introduction to Combinatorial Number Theory (IV)  Sumsets and Zerosum Problems, 2020
 Introduction to Combinatorial Number Theory (V)  Combinatorial Nullstellensatz and its Applications, 2020
 Introduction to Combinatorial Number Theory (VI)  Permutations, Determinants and Permutations, 2020
 Two LocalGlobal Theorems related to Covers of the Integers, 2020
 Zerosum Problems for Abelian Groups and Covers of the Integers by Residue Classes, 2020
 On Restricted Sumsets, 2020
 On Two Products modulo Primes, 2020
 Various Refinements of Lagrange's FourSquare Theorem, 2020
 Seeking for πseries in August 2020, 2020
 Hamilton Quaternions and the 135 Conjecture, 2020
 Combinatorial Ideas related to Hilbert's Tenth Problem, 2020
 Riddles of Representations of Integers, 2020
 Covers of the Integers by Residue Classes and their Extensions to Groups, 2021.
 The 11 Unknowns Theorem and its Applications, 2021.
 Hilbert's Tenth Problem and its Further Developments, 2021.
 Behind Mathematical Discoveries, 2022.
 New Results on Power Residues modulo Primes, 2022.
 Mysterious πSeries (I), 2022.
 Mysterious πSeries (II), 2023.
 Series and Congruences involving Harmonic Numbers, 2023.
 A Survey of Series for 1/π Conjectured by Me, 2023.
 Progress on Questions in the book "New Conjectures in Number Theory and Combinatorics", 2024.
