Zhi-Wei Sun

Identifiers

• name variant Zhi-Wei Sun 0.60 · backfill

Papers (141)

1. Some new results on determinants and permanents math.NT · 2026 · author #2
2. Evaluation of two determinants involving $q$-integers math.CO · 2026 · author #1
3. On a polynomial involving quadratic residues modulo primes math.NT · 2026 · author #1
4. Evaluations of some series via the WZ method math.CO · 2026 · author #2
5. Various conjectural series identities math.NT · 2026 · author #1
6. Sums of squares with restrictions involving primes math.NT · 2018 · author #2
7. Quadratic residues and related permutations and identities math.NT · 2018 · author #1
8. On practical numbers of some special forms math.NT · 2018 · author #2
9. On sums and products in a field math.NT · 2018 · author #2
10. On $q$-analogues of some series for $\pi$ and $\pi^2$ math.CO · 2018 · author #3
11. Hankel-type determinants for some combinatorial sequences math.CO · 2016 · author #2
12. Sums of four polygonal numbers with coefficients math.NT · 2016 · author #2
13. Some variants of Lagrange's four squares theorem math.NT · 2016 · author #2
14. Refining Lagrange's four-square theorem math.NT · 2016 · author #1
15. Arithmetic properties of Delannoy numbers and Schr\"oder numbers math.CO · 2016 · author #1
16. On a permutation problem for finite abelian groups math.NT · 2016 · author #2
17. New congruences involving products of two binomial coefficients math.NT · 2016 · author #2
18. Telescoping method and congruences for double sums math.NT · 2016 · author #2
19. Supercongruences involving dual sequences math.NT · 2015 · author #1
20. On $x(ax+1)+y(by+1)+z(cz+1)$ and $x(ax+b)+y(ay+c)+z(az+d)$ math.NT · 2015 · author #1
21. Natural numbers represented by $\lfloor x^2/a\rfloor+\lfloor y^2/b\rfloor+\lfloor z^2/c\rfloor$ math.NT · 2015 · author #1
22. A result similar to Lagrange's theorem math.NT · 2015 · author #1
23. Proof of a conjectural supercongruence math.NT · 2015 · author #2
24. Two congruences involving harmonic numbers with applications math.NT · 2014 · author #2
25. A new theorem on the prime-counting function math.NT · 2014 · author #1
26. Two new kinds of numbers and related divisibility results math.NT · 2014 · author #1
27. Congruences involving $g_n(x)=\sum_{k=0}^n\binom nk^2\binom{2k}kx^k$ math.NT · 2014 · author #1
28. Problems on combinatorial properties of primes math.NT · 2014 · author #1
29. On $a^n+bn$ modulo $m$ math.NT · 2013 · author #1
30. An analogue of the prime number theorem for finite fields math.NT · 2013 · author #2
31. On some determinants with Legendre symbol entries math.NT · 2013 · author #1
32. A curious identity for Bernoulli numbers math.NT · 2013 · author #3
33. The least modulus for which consecutive polynomial values are distinct math.NT · 2013 · author #1
34. Conjectures on representations involving primes math.NT · 2012 · author #1
35. Determining $x$ or $y$ mod $p^2$ with $p=x^2+dy^2$ math.NT · 2012 · author #1
36. On irreducible polynomials over finite fields math.NT · 2012 · author #1
37. Some new inequalities for primes math.NT · 2012 · author #1
38. On monotonicity of some combinatorial sequences math.CO · 2012 · author #2
39. Conjectures involving arithmetical sequences math.CO · 2012 · author #1
40. On a sequence involving sums of primes math.NT · 2012 · author #1
41. On a pair of zeta functions math.NT · 2012 · author #1
42. On functions taking only prime values math.NT · 2012 · author #1
43. Congruences for Franel numbers math.NT · 2011 · author #1
44. p-adic congruences motivated by series math.NT · 2011 · author #1
45. Some new series for $1/\pi$ and related congruences math.NT · 2011 · author #1
46. Conjectures and results on $x^2$ mod $p^2$ with $4p=x^2+dy^2$ math.NT · 2011 · author #1
47. List of conjectural series for powers of $\pi$ and other constants math.CA · 2011 · author #1
48. On sums of Ap\'ery polynomials and related congruences math.NT · 2011 · author #1
49. On sums related to central binomial and trinomial coefficients math.NT · 2011 · author #1
50. On convolutions of Euler numbers math.NT · 2010 · author #1
51. On sums involving products of three binomial coefficients math.NT · 2010 · author #1
52. Supercongruences involving products of two binomial coefficients math.NT · 2010 · author #1
53. On a sumset problem for integers math.CO · 2010 · author #3
54. Supercongruences motivated by e math.NT · 2010 · author #1
55. A refinement of a congruence result by van Hamme and Mortenson math.NT · 2010 · author #1
56. New series for some special values of $L$-functions math.NT · 2010 · author #1
57. Proof of three conjectures on congruences math.NT · 2010 · author #2
58. A new series for $\pi^3$ and related congruences math.NT · 2010 · author #1
59. On Delannoy numbers and Schr\"oder numbers math.NT · 2010 · author #1
60. Congruences involving generalized central trinomial coefficients math.NT · 2010 · author #1
61. On a curious property of Bell numbers math.NT · 2010 · author #1
62. Some congruences involving binomial coefficients math.NT · 2010 · author #2
63. On Apery numbers and generalized central trinomial coefficients math.NT · 2010 · author #1
64. On divisibility concerning binomial coefficients math.NT · 2010 · author #1
65. Products and sums divisible by central binomial coefficients math.NT · 2010 · author #1
66. On weighted zero-sum sequences math.CO · 2010 · author #3
67. Super congruences and Euler numbers math.NT · 2010 · author #1
68. On harmonic numbers and Lucas sequences math.NT · 2010 · author #1
69. Curious congruences for Fibonacci numbers math.NT · 2009 · author #1
70. Congruences involving binomial coefficients and Lucas sequences math.NT · 2009 · author #1
71. Open Conjectures on Congruences math.NT · 2009 · author #1
72. Arithmetic theory of harmonic numbers (II) math.NT · 2009 · author #1
73. Fibonacci numbers modulo cubes of primes math.NT · 2009 · author #1
74. On congruences related to central binomial coefficients math.NT · 2009 · author #1
75. On sums of binomial coefficients modulo p^2 math.NT · 2009 · author #1
76. Some q-congruences related to 3-adic valuations math.NT · 2009 · author #2
77. p-adic valuations of some sums of multinomial coefficients math.NT · 2009 · author #1
78. Binomial coefficients, Catalan numbers and Lucas quotients math.NT · 2009 · author #1
79. On 2-adic orders of some binomial sums math.CO · 2009 · author #2
80. Various congruences involving binomial coefficients and higher-order Catalan numbers math.NT · 2009 · author #1
81. Some congruences for the second-order Catalan numbers math.NT · 2009 · author #3
82. On some universal sums of generalized polygonal numbers math.NT · 2009 · author #2
83. On universal sums of polygonal numbers math.NT · 2009 · author #1
84. Some curious congruences modulo primes math.NT · 2009 · author #2
85. Mixed sums of primes and other terms math.NT · 2009 · author #1
86. Binomial coefficients and the ring of p-adic integers math.NT · 2008 · author #1
87. On Bialostocki's conjecture for zero-sum sequences math.CO · 2008 · author #2
88. Symmetric identities for Euler polynomials math.CO · 2008 · author #2
89. Linear extension of the Erdos-Heilbronn conjecture math.NT · 2008 · author #1
90. On almost universal mixed sums of squares and triangular numbers math.NT · 2008 · author #2
91. Exterior algebras and two conjectures on finite abelian groups math.GR · 2008 · author #2
92. A variant of Tao's method with application to restricted sumsets math.NT · 2008 · author #2
93. New congruences for central binomial coefficients math.NT · 2008 · author #1
94. Mixed sums of squares and triangular numbers (III) math.NT · 2008 · author #2
95. On sums of primes and triangular numbers math.NT · 2008 · author #1
96. A new extension of the Erdos-Heilbronn conjecture math.NT · 2007 · author #2
97. On some new congruences for binomial coefficients math.NT · 2007 · author #1
98. On value sets of polynomials over a field math.NT · 2007 · author #1
99. Covers of the integers with odd moduli and their applications to the forms $x^m-2^n$ and $x^2-F_{3n}/2$ math.NT · 2007 · author #2
100. An additive theorem and restricted sumsets math.CO · 2006 · author #1
101. On Snevily's conjecture and restricted sumsets math.CO · 2006 · author #1
102. A lower bound for |{a+b: a\in A, b\in B, P(a,b)\not=0}| math.NT · 2006 · author #2
103. Extensions of Wilson's lemma and the Ax-Katz theorem math.NT · 2006 · author #1
104. Fleck quotients and Bernoulli numbers math.NT · 2006 · author #1
105. On the unique representability of spikes over prime fields math.CO · 2006 · author #2
106. On Fleck quotients math.NT · 2006 · author #1
107. Determination of the two-color Rado number for $a_1x_1+...+a_mx_m=x_0$ math.CO · 2006 · author #2
108. On covering numbers math.NT · 2006 · author #1
109. Combinatorial congruences and Stirling numbers math.NT · 2005 · author #1
110. Lucas-type congruences for cyclotomic $\psi$-coefficients math.NT · 2005 · author #1
111. A combinatorial identity with application to Catalan numbers math.CO · 2005 · author #2
112. Combinatorial congruences modulo prime powers math.NT · 2005 · author #1
113. A number-theoretic approach to homotopy exponents of SU(n) math.AT · 2005 · author #2
114. Polynomial extension of Fleck's congruence math.NT · 2005 · author #1
115. On q-Euler numbers, q-Salie numbers and q-Carlitz numbers math.CO · 2005 · author #2
116. Mixed sums of squares and triangular numbers (II) math.NT · 2005 · author #3
117. Mixed sums of squares and triangular numbers math.NT · 2005 · author #1
118. A sharp result on m-covers math.NT · 2005 · author #2
119. Restricted sumsets and a conjecture of Lev math.CO · 2005 · author #2
120. Congruences for sums of binomial coefficients math.NT · 2005 · author #1
121. Finite covers of groups by cosets or subgroups math.GR · 2005 · author #1
122. On odd covering systems with distinct moduli math.NT · 2004 · author #2
123. A connection between covers of the integers and unit fractions math.NT · 2004 · author #1
124. Groups and Combinatorial Number Theory math.GR · 2004 · author #1
125. On covers of abelian groups by cosets math.GR · 2004 · author #2
126. On various restricted sumsets math.CO · 2004 · author #1
127. On Euler numbers modulo powers of two math.NT · 2004 · author #1
128. A characterization of covering equivalence math.NT · 2004 · author #2
129. On the range of a covering function math.NT · 2004 · author #1
130. Identities concerning Bernoulli and Euler polynomials math.NT · 2004 · author #1
131. New identities involving Bernoulli and Euler polynomials. II math.NT · 2004 · author #1
132. New identities involving Bernoulli and Euler polynomials math.NT · 2004 · author #2
133. On sums of binomial coefficients and their applications math.NT · 2004 · author #1
134. A local-global theorem on periodic maps math.NT · 2004 · author #1
135. On m-covers and m-systems math.NT · 2004 · author #1
136. Arithmetic Properties of Periodic Maps math.NT · 2004 · author #1
137. Binomial Coefficients and Quadratic Fields math.NT · 2004 · author #1
138. An extension of a curious binomial identity math.CO · 2004 · author #1
139. Simple arguments on consecutive power residues math.NT · 2003 · author #1
140. On the Herzog-Sch\"onheim conjecture for uniform covers of groups math.GR · 2003 · author #1
141. Zero-sum problems for abelian p-groups and covers of the integers by residue classes math.NT · 2003 · author #1

Mentions

• 1010.4298 #1 · arxiv_oai · confidence 0.70 Zhi-Wei Sun
• 1505.03679 #1 · backfill · confidence 0.70 Zhi-Wei Sun
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• 2606.03970 #2 · arxiv_oai · confidence 0.70 Zhi-Wei Sun
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Frequent Coauthors

• Hao Pan 18 shared papers
• Song Guo 5 shared papers
• Li-Lu Zhao 4 shared papers
• Qing-Hu Hou 3 shared papers
• Roberto Tauraso 3 shared papers
• Daqing Wan 2 shared papers
• Donald M. Davis 2 shared papers
• Fan Ge 2 shared papers
• Guo-Shuai Mao 2 shared papers
• Hui-Qin Cao 2 shared papers
• Ke-Jian Wu 2 shared papers
• Xiang-Zi Meng 2 shared papers
• Bao-Xuan Zhu 1 shared papers
• Ben Kane 1 shared papers
• Bo Jiang 1 shared papers
• Byeong-Kweon Oh 1 shared papers
• Christian Krattenthaler 1 shared papers
• Daniel B. Grunberg 1 shared papers
• David J. Grynkiewicz 1 shared papers
• Don Zagier 1 shared papers