Zhi-Wei Sun

Identifiers

• name variant Zhi-Wei Sun 0.60 · backfill

Papers (140)

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

Mentions

• 1112.1034 #1 · backfill · confidence 0.70 Zhi-Wei Sun
• 1111.4988 #1 · backfill · confidence 0.70 Zhi-Wei Sun
• 1104.3856 #1 · backfill · confidence 0.70 Zhi-Wei Sun
• 1103.4325 #1 · backfill · confidence 0.70 Zhi-Wei Sun
• 1102.5649 #1 · backfill · confidence 0.70 Zhi-Wei Sun
• 2605.16240 #1 · arxiv_oai · confidence 0.70 Zhi-Wei Sun
• 1101.1946 #1 · backfill · confidence 0.70 Zhi-Wei Sun
• 1101.0600 #1 · backfill · 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
• 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
• Guang-Liang Zhou 1 shared papers