List of Zhi-Wei Sun's Publications Indexed in SCI or SCI-E
167. A new theorem on quadratic residues modulo primes (with Q.-H. Hou and H. Pan),
  C. R. Math. Acad. Sci. Paris, accepted. arXiv:2107.08984
166. On Motzkin numbers and central trinomial coefficients,
  Adv. in Appl. Math. 136 (2022), Article ID 102319.
165. Trigonometric identities and quadratic residues,
  Publ. Math. Debrecen, accepted. arXiv:1908.02155
164. Proof of some conjectural hypergeometric supercongruences via curious identities (with C. Wang),
  J. Math. Anal. Appl. 505 (2022), Article ID 125575.
163. Supercongruences involving Lucas sequences,
  Monatsh. Math. 196 (2021), 577--606.
162. On sums and products in a field (with G.-L. Zhou),
  Czech. Math. J. , in press.
161. On permutations of {1,...,n} and related topics,
  J. Algebraic Combin. 54 (2021), 893--912.
160. q-Analogues of some series for powers of π (with Q.-H. Hou),
  Ann. Comb. 25 (2021), no. 1, 167--177.
159. Proof of three conjectures on determinants related to quadratic residues (with D. Grinberg and L. Zhao),
  Linear Multilinear Algebra, accepted. arXiv:2007.06453
158. Further results on Hilbert's Tenth Problem,
  Sci. China Math., 64 (2021), no. 2, 281--306.
157. Congruences for Apery numbers $\beta_n=\sum_{k=0}^{n}\binom{n}{k}^2\binom{n+k}{k}$ (with H.-Q. Cao and Y. Matiyasevich),
  Int. J. Number Theory 16 (2020), no. 5, 981-1003.
156. New series for powers of π and related congruences,
  Electron. Res. Arch. 28 (2020), no. 3, 1273--1342.
155. Each positive rational number has the form $\varphi(m^2)/\varphi(n^2)$ (with D. Krachun),
  Amer. Math. Monthly 127 (2020), no. 9, 847--849.
154. On quadratic residues and quartic residues modulo primes,
  Int. J. Number Theory 16 (2020), no. 8, 1833--1858.
153. Proof of some conjectures involving quadratic residues (with F. Petrov),
  Electron. Res. Arch. 28 (2020), no. 2, 589--597.
152. On sums of four pentagonal numbers with coefficients (with D. Krachun),
  Electron. Res. Arch. 28 (2020), no. 1, 559--566.
151. On some determinants involving Jacobi symbols (with D. Krachun, F. Petrov and M. Vsemirnov),
  Finite Fields Appl. 64 (2020), Article 101672.
150. On the 1-3-5 conjecture and related topics (with H.-L. Wu),
  Acta Arith. 193 (2020), no. 3, 253--268.
149. Universal sums of three quadratic polynomials,
  Sci. China Math. 63 (2020), no. 3, 501-520.
148. Some universal quadratic sums over the integers (with H.-L. Wu),
  Electron. Res. Arch., 27 (2019), 69-87.
147. Quadratic residues and related permutations and identities,
  Finite Fields Appl. 59 (2019), 246--283.
146. Restricted sums of four squares,
  Int. J. Number Theory 15 (2019), no. 9, 1863--1893.
145. On some determinants with Legendre symbol entries,
  Finite Fields Appl. 56 (2019), 285--307.
144. Universal sums of three quadratic polynomials,
  Sci. China Math., accepted. arXiv:1502.03056
143. Consecutive primes and Legendre symbols (with H. Pan),
  Acta Arith. 190 (2019), no. 3, 209--220.
142. On q-analogues of some series for π and π2 (with Q.-H. Hou and C. Krattenthaler),
  Proc. Amer. Math. Soc. 147 (2019), no. 5, 1953--1961.
141. Two q-analogues of Euler's formula ζ(2)=π2/6,
  Colloq. Math. 158 (2019), no. 2, 313--320.
140. New congruences involving products of two binomial coefficients (with G.-S. Mao),
  Ramanujan J. 49 (2019), no. 2, 237--256.
139. Divisibility results on Franel numbers and related polynomials (with C. Wang),
  Int. J. Number Theory 15 (2019), no. 2, 433--444.
138. Sone variants of Lagrange's four squares theorem (with Y.-C. Sun),
  Acta Arith. 183(2018), no.4, 339--356.
137. Hankel-type determinants for some combinatorial sequences (with B.-X. Zhu),
  Int. J. Number Theory 14(2018), no.5, 1265-1277.
136. Two new kinds of numbers and related divisibility results,
  Colloq. Math. 154(2018), no.2, 241-273.
135. Telescoping method and congruences for double sums (with Y.-P. Mu),
  Int. J. Number Theory 14(2018), no.1, 143-165.
134. Arithmetic properties of Delannoy numbers and Schr\"oder numbers,
  J. Number Theory 183(2018), 146-171.
133. Sums of four polygonal numbers with coefficients (with X.-Z. Meng),
  Acta Arith. 180(2017), no.3, 229-249.
132. Supercongruences involving dual sequences,
  Finite Fields Appl. 46(2017), 179-216.
131. On a permutation problem for finite abelian groups (with. F. Ge),
  Electron. J. Combin., 24(2017), no.1, #P1.17, 1-6.
130. Refining Lagrange's four-square theorem,
  J. Number Theory 175(2017), 167-190.
  [This paper contains my challenging 1-3-5-Conjecture.]
129. On x(ax+1)+y(by+1)+z(cz+1) and x(ax+b)+y(ay+c)+z(az+d),
  J. Number Theory 171(2017), 275-283.
128. A new theorem on the prime-counting function,
  Ramanujan J. 42(2017), no.1, 59-67.
127. On a pair of zeta functions,
  Int. J. Number Theory 12(2016), no.8, 2323-2342.
  [This paper contains a hypothesis which implies the Riemann Hypothesis.]
126. A result similar to Lagrange's theorem,
  J. Number Theory 162(2016), 190-211.
125. Two congruences involving harmonic numbers with applications (with G.-S. Mao),
  Int. J. Number Theory 12(2016), no.2, 527-539.
124. The least modulus for which consecutive polynomial values are distinct,
  J. Number Theory 160 (2016), 108-116.
123. Congruences involving $g_n(x)=\sum_{k=0}^n\binom{n}{k}^2\binom{2k}{k}x^k$,
  Ramanujan J. 40(2016), no.3, 511-533.
122. On some universal sums of generalized polygonal numbers (with F. Ge),
  Colloq. Math. 145(2016), no.1, 149-155.
121. A new series for π^3 and related congruences,
  Internat. J. Math. 26 (2015), no.8, 1550055 (23 pages).
120. Proof of a conjectural supercongruence (with X.-Z. Meng),
  Finite Fields Appl. 35 (2015), 86-91.
119. Some congruences involving binomial coefficients (with H.-Q. Cao),
  Colloq. Math. 139 (2015), no.1, 127-136.
118. On universal sums of polygonal numbers,
  Sci. China Math. 58 (2015), no.7, 1367-1396.
117. Supercongruences motivated by e,
  J. Number Theory 147 (2015), no.1, 326-341.
116. On monotonicity of some combinatorial sequences (with Q.-H. Hou and H. Wen),
  Publ. Math. Debrecen 85 (2014), no.3-4, 285-295.
115. Proof of three conjectures on congruences (with H. Pan),
  Sci. China Math. 57 (2014), no.10, 2091-2102.
114. Congruences involving generalized central trinomial coefficients,
  Sci. China Math. 57 (2014), no.7, 1375-1400.
113. p-adic congruences motivated by series,
  J. Number Theory 134 (2014), no.1, 181-196.
112. On a sumset problem for integers (with. S.-S. Du and H.-Q. Cao),
  Electron. J. Combin., 21 (2014), no.1, #P1.13, 1-25.
111. Connections between p=x2+3y2 and Franel numbers,
  J. Number Theory 133 (2013), no.9, 2914-2928.
110. On functions taking only prime values,
  J. Number Theory 133 (2013), no.8, 2794-2812.
  [This paper contains many mysterious conjectures on primes.]
109. Supercongruences involving products of two binomial coefficients,
  Finite Fields Appl. 22 (2013), 24--44.
108. Fibonacci numbers modulo cubes of primes,
  Taiwanese J. Math. 17 (2003), no.5, 1523-1543.
107. Congruences for Franel numbers,
  Adv. in Appl. Math. 51 (2013), 524-535.
106. Arithmetic theory of harmonic numbers (II) (with Li-Lu Zhao),
  Colloq. Math. 130 (2013), no.1, 67--78.
105. Products and sums divisible by central binomial coefficients,
  Electron. J. Combin., 20 (2013), no.1, #P9, 1-14. [Initial version (April, 2010): arXiv:1004.4623]
104. On a sequence involving sums of primes,
  Bull. Austral. Math. Soc. 88 (2013), no.2, 197-205.
103. A refinement of a congruence result by van Hamme and Mortenson,
  Illinois J. Math. 56 (2012), no.3, 967--979
102. On divisibility of binomial coefficients,
  J. Austral. Math. Soc. 93 (2012), 189-201.
101. On sums involving products of three binomial coefficients,
  Acta Arith. 156 (2012), no.2, 123-141.
100. On sums of Apery polynomials and related congruences,
  J. Number Theory 132 (2012), no.11, 2673-2699.
99. Some q-congruences related to 3-adic valuations (with H. Pan),
  Adv. in Appl. Math. 49(2012), no.3-5, 263-270
98. On sums of binomial coefficients modulo p2,
  Colloq. Math. 127(2012), no.1, 39-54.
97. On weighted zero-sum sequences (with S. D. Adhikari and D. J. Grynkiewicz),
  Adv. in Appl. Math. 48(2012), no.3, 506--527.
96.Linear extension of the Erdos-Heilbronn conjecture (with Lilu Zhao),
  J. Combin. Theory Ser. A 119(2012), no.2, 364--381.
95. On harmonic numbers and Lucas sequences,
  Math. Publ. Debrecen 80(2012), no.1-2, 25--41.
94. Arithmetic theory of harmonic numbers,
  Proc. Amer. Math. Soc. 140(2012), no.2, 415--428.
93. Super congruences and Euler numbers,
  Sci. China Math. 54(2011), no.12, 2509--2535.
92. Binomial coefficients and the ring of p-adic integers (with W. Zhang),
  Proc. Amer. Math. Soc. 139(2011), no.5, 1569--1577.
91. On Delannoy numbers and Schroder numbers,
  J. Number Theory 131(2011), no.12, 2387-2397.
90. On congruences related to central binomial coefficients,
  J. Number Theory 131(2011), no.11, 2219-2238.
89. p-adic valuations of some sums of multinomial coefficients,
  Acta Arith. 148(2011), no.1, 63-76.
88. On a curious property of Bell numbers (with D. Zagier),
  Bull. Austral. Math. Soc. 84(2011), no.1, 153-158. (Initial arXiv version).
87. Exterior algebras and two conjectures on finite abelian groups (with T. Feng and Q. Xiang),
  Israel J. Math. 182(2011), no.1, 425--437.
86. On some new congruences for binomial coefficients (with R. Tauraso),
  Int. J. Number Theory 7(2011), no.3, 645--662.
85. On almost universal mixed sums of squares and triangular numbers (with B. Kane),
  Trans. Amer. Math. Soc. 362(2010), no.12, 6425--6455.
84. On 2-adic orders of some binomial sums (with H. Pan),
  J. Number Theory 130(2010), no.12, 2701--2706.
83. Some curious congruences modulo primes (with L.-L. Zhao),
  J. Number Theory 130(2010), no.4, 930--935.
82. Binomial coefficients, Catalan numbers and Lucas quotients,
  Sci. China Math. 53(2010), no.9, 2473--2488.
81. Symmetric identities for Euler polynomials (with Y. Zhang and H. Pan),
  Graphs and Combinatorics 26(2010), no.5, 745--753.
80. New congruences for central binomial coefficients (with R. Tauraso),
  Adv. in Appl. Math. 45(2010), no.1, 125--148.
79. Some congruences for the second-order Catalan numbers (with L. L. Zhao and H. Pan),
  Proc. Amer. Math. Soc. 138(2010), no.1, 37--46.
78. On m-covers and m-systems,
  Bull. Austral. Math. Soc. 81(2010), no.2, 223--235.
77. Covers of the integers with odd moduli and their applications to the forms xm -2n and x2 -F3n /2 (with K.-J. Wu),
  Math. Comp. 78(2009), no.267, 1853--1866.
76. A new extension of the Erdos-Heilbronn conjecture (with H. Pan),
  J. Combin. Theory Ser. A 116(2009), no.8, 1374--1381.
75. Mixed sums of squares and triangular number (III) (with B. K. Oh),
  J. Number Theory 129(2009), no.4, 964--969. arXiv:0804.3750.
74. On Bialostocki's conjecture for zero-sum sequences (with S. Guo),
  Acta Arith., 140(2009), no.4, 329--334.
73. Zero-sum problems for abelian p-groups and covers of the integers by residue classes,
  Israel J. Math. 170(2009), 235--252.
72. A variant of Tao's method with application to restricted sumsets (with S. Guo),
  J. Number Theory 129(2009), no.2, 434-438.
71. An additive theorem and restricted sumsets,
  Math. Res. Lett. 15(2008), no.6, 1263--1276.
70. Lucas-type congruences for cyclotomic ψ-coefficients (with D. Wan),
  Int. J. Number Theory 4(2008), no.2, 155--170.
69. On covers of abelian groups by cosets (with G. Lettl),
  Acta Arith. 131(2008), no.4, 341--350.
68. On sums of binomial coefficients and their applications,
  Discrete Math. 308(2008), no.18, 4231--4245.
67. On value sets of polynomials over a field,
  Finite Fields Appl. 14(2008), no.2, 470--481.
66. Determination of the two-color Rado number for a1 x1+... +am xm =x0 (with S. Guo),
  J. Combin. Theory Ser. A, 115(2008), no.2, 345--353.
65. A characterization of covering equivalence (with H. Pan),
  Acta Arith. 129(2007), no.4, 397-402.
64. Congruences for sums of binomial coefficients (with R. Tauraso),
  J. Number Theory 126(2007), no.2, 287--296.
  [Ranked 1st among the most downloaded articles during July.-Sept. in 2007]
63. On Fleck quotients (with D. Wan),
  Acta Arith. 127(2007), no.4, 337--363.
62. A sharp result on m-covers (with H. Pan),
  Proc. Amer. Math. Soc. 135(2007), no.11, 3515--3520.
61. Combinatorial congruences and Stirling numbers,
  Acta Arith. 126(2007), no.4, 387--398.
60. Combinatorial congruences modulo prime powers (with D. M. Davis),
  Trans. Amer. Math. Soc. 359(2007), no.11, 5525--5553.
59. On the number of zero-sum subsequences (with H.-Q. Cao),
  Discrete Math. 307(2007), no.13, 1687--1691.
58. Mixed sums of squares and triangular numbers,
  Acta Arith. 127(2007), no.2, 103--113.
57. A number-theoretic approach to homotopy exponents of SU(n) (with D. M. Davis),
  J. Pure Appl. Algebra 209(2007), no.1, 57--69.
56. A connection between covers of the integers and unit fractions,
  Adv. in Appl. Math. 38(2007), no.2, 267--274.
  [Ranked 3rd among the most downloaded articles during Oct.-Dec. in 2006]
55. Simple arguments on consecutive power residues,
  J. Number Theory 124(2007), no.1, 57--61.
54. Identities concerning Bernoulli and Euler polynomials (with H. Pan),
  Acta Arith. 125(2006), no.1, 21--39.
53. Finite covers of groups by cosets or subgroups,
  Internat. J. Math. 17(2006), no.1, 1047--1064.
52. A combinatorial identity with application to Catalan numbers (with H. Pan),
  Discrete Math. 306(2006), no.16, 1921--1940.
51. On the unique representability of spikes over prime fields (with Z. Y. Wu),
  Discrete Math. 306(2006), no.15, 1798--1804.
50. On q-Euler numbers, q-Sali\'e numbers and q-Carlitz numbers (with H. Pan),
  Acta Arith. 124(2006), no.1, 41--57.
49. Binomial coefficients and quadratic fields,
  Proc. Amer. Math. Soc. 134(2006), no.8, 2213--2222.
48. Restricted sumsets and a conjecture of Lev (with H. Pan),
  Israel J. Math., 154(2006), no.1, 21--28.
47. Polynomial extension of Fleck's congruence,
  Acta Arith., 122(2006), no.1, 91--100.
46. New identities involving Bernoulli and Euler polynomials (with H. Pan),
  J. Combin. Theory Ser. A 113(2006), no.1, 156--175.
45. A local-global theorem on periodic maps,
  J. Algebra 293(2005), no.2, 506--512.
44. On Euler numbers modulo powers of two,
  J. Number Theory 115(2005), no.2, 371--380.
  [Ranked 1st among the most downloaded articles during Oct.-Dec. in 2005]
43. On various restricted sumsets (with Y. N. Yeh),
  J. Number Theory 114(2005), no.2, 209--220.
42. On odd covering systems with distinct moduli (with S. Guo),
  Adv. in Appl. Math. 35(2005), no.2, 182--187.
41. On the range of a covering function,
 
J. Number Theory 111(2005), no.1, 190--196. MR 2005m:11015.
40. On two-way nondeterministic finite automata with
  one reversal-bounded counter
(with Z. Dang and O. Ibarra),
  Theoret. Comput. Sci. 330(2005), no.1, 59--79. MR 2005h:68068.
39. Arithmetic properties of periodic maps,
  Math. Res. Lett. 11(2004), no.2-3, 187--196. MR 2005g:11015
38. Some identities for Bernoulli and Euler polynomials (with K.J. Wu and H. Pan),
  Fibonacci Quart. 42(2004), no.4, 295--299. MR 2006a:11024; Zbl. M. 1064.11019.
37. On the Herzog-Sch\"onheim conjecture for uniform covers of groups (Abstract),
  J. Algebra 273(2004), no.1, 153--175.
36. On the function w(x)=|{1≤ s≤ k: x≡ as (mod ns)}|,
  Combinatorica 23(2003), no.4, 681--691.
35. On Snevily's conjecture and restricted sumsets,
  J. Combin. Theory Ser. A 103(2003), no.2, 291--304.
34. Combinatorial identities in dual sequences,
  European J. Combin. 24(2003), no.6, 709--718. Zbl. M. 1024.05010.
33. Unification of zero-sum problems, subset sums and covers of Z (Research Announcement),
  Electron. Res. Announc. Amer. Math. Soc. 9(2003), 51--60.
  [Submitted on 2003-03-20 and communicated by R. L. Graham.]
32. Safety verification for two-way finite automata with monotonic counters
  (with O. H. Ibarra and Z. Dang),
  in: M. Ito and M. Toyama (Eds.), Developments in Language Theory 2002,
  Lecture Notes in Computer Science, Vol. 2450, Springer, 2003, pp. 326--338. Zbl. M. 1015.68112.
31. General congruences for Bernoulli polynomials,
  Discrete Math. 262(2003), 253--276. MR 2003m:11037.
  [Ranked 12th among the top 25 of the most downloaded articles (from Jan. to May 2003).]
30. A lower bound for |{a+b: a ∈ A, b∈ B, P(a,b) ≠ 0}| (with H. Pan),
  J. Combin. Theory Ser. A 100(2002), no.2, 387--393.
  MR 2003k:11016; Zbl. M. 1020.11080.
29. On the emptiness problem for two-way NFA with one reversal-bounded counter
  (with Z. Dang and O. H. Ibarra),
  in: P. Bose and P. Morin (Eds.), Algorithms and Computation,
  Lecture Notes in Computer Science, Vol. 2518, Springer, 2002, pp. 103--114.
28. Sums of subsets with polynomial restrictions (with J. X. Liu),
  J. Number Theory 97(2002), no.2, 301--304. MR 2004c:11027.
27. Generalizations of Knopp's identity (with B. F. Chen),
  J. Number Theory 97(2002), no.1, 186--198. MR 2003i:11054.
26. On the sum k≡ r (mod m) C(n,k) and related congruences,
  Israel J. Math. 128(2002), 135--156. MR 2003d:11026.
25. Sums of minima and maxima,
  Discrete Math. 257(2002), no.1, 143--159. MR 2003g:11037; Zbl. M. 1007.05018.
24. Restricted sums in a field (with Q. H. Hou),
  Acta Arith. 102(2002), no.3, 239--249. MR 2003e:11025; Zbl. M. 0988.11008.
23. A note on integers of the form 2n+cp (with S. M. Yang),
  Proc. Edinburgh Math. Soc. 45(2002), no.1, 155--160. MR 2002j:11117.
22. An extension of Lucas' theorem (with H. Hu),
  Proc. Amer. Math. Soc. 129(2001), no.12, 3471--3478. MR 2002i:11019.
21. Hall's theorem revisited,
  Proc. Amer. Math. Soc. 129(2001), no.10, 3129--3131.
  MR 2002h:05007; Zbl. M. 0966.05067.
20. Integers not of the form c(2a +2a) +pα (with M.-H. Le),
  Acta Arith. 99(2001), no.2, 183--190. MR 2002e:11043; Zbl. M. 1006.11015.
19. Restricted sums of subsets of Z,
  Acta Arith. 99(2001), no.1, 41--60. MR 2002j:11016; Zbl. M. 0974.11009.
18. Reciprocal sums of second-order recurrent sequences (with H. Hu and J.-X. Liu),
  Fibonacci Quart. 39(2001), no.3, 214--220. MR 2002d:11016; Zbl. M. 0992.11014.
17. Algebraic approaches to periodic arithmetical maps,
  J. Algebra 240(2001), no.2, 723--743. MR 2002f:11009; Zbl. M. 0974.11007.
16. Exact m-covers of groups by cosets,
  European J. Combin. 22(2001), no.3, 415--429. MR 2002a:20026; Zbl. M. 0980.20032.
15. Products of binomial coefficients modulo p²,
  Acta Arith. 97(2001), no.1, 87--98. MR 2002m:11013; Zbl. M. 0986.11009.
14. On integers not of the form $\pm p^a\pm q^b$,
  Proc. Amer. Math. Soc. 128(2000), no.4, 997--1002.
  MR 2000i:11157; Zbl. M. 959.11043.
13. On covering multiplicity,
  Proc. Amer. Math. Soc. 127(1999), no.5, 1293--1300.
  MR 99h:11012; Zbl. M. 917.11006.
12. On sums of distinct representatives (with H.-Q. Cao),
  Acta Arith. 87(1998), no.2, 159--169.
  MR 99k:11021; Zbl. M. 920.11010.
11. Exact m-covers and the linear form Σks=1 xs/ ns ,
  Acta Arith. 81(1997), no.2, 175--198.
  MR 98h:11019; Zbl. M. 871.11011.
10. Values of Bernoulli polynomials (with A. Granville),
  Pacific J. Math. 172(1996), no.1, 117--137.
  MR 98b:11018; Zbl. M. 856.11008.
09. Covering the integers by arithmetic sequences II,
  Trans. Amer. Math. Soc. 348(1996), no.11, 4279--4320.
  MR 97c:11011; Zbl. M. 884.11013.
08. Covering the integers by arithmetic sequences,
  Acta Arith. 72( 1995), no.2, 109--129.
  MR 96k:11013; Zbl. M. 841.11011.
07. A congruence for primes,
  Proc. Amer. Math. Soc. 123(1995), no.5, 1341--1346.
  MR 95f:11003; Zbl. M. 833.11001.
06. On exactly m times covers,
  Israel J. Math. 77(1992), no.3, 345--348.
  MR 93k:11007; Zbl. M. 768.11001.
05. On disjoint residue classes,
  Discrete Math. 104(1992), no.3, 321--326.
  MR 93d:11005; Zbl. M. 755.11002.
04. Fibonacci numbers and Fermat's last theorem (with Z. H. Sun),
  Acta Arith. 60(1992), no.4, 371--388.
  MR 93e:11025; Zbl. M. 725.11009.
03. A new relation-combining theorem and its application,
  Z. Math. Logik Grundlag. Math. 38(1992), no.3, 209--212.
  MR 94m:03069; Zbl. M. 793.03004.
02. Reduction of unknowns in Diophantine representations,
  Sci. China Ser. A 35(1992), no.3, 257--269.
  Chinese Edition, 1991, no.10, 1030--1040.
  MR 93h:11039; Zbl. M. 773.11077.
01. Finite coverings of groups,
  Fund. Math. 134(1990), no.1, 37--53.
  MR 91g:20031; Zbl. M. 717.20020.