Zhi-Wei Sun's Publications Indexed in SCI

List of Zhi-Wei Sun's Publications Indexed in SCI or SCI-E

73. Covers of the integers with odd moduli and their applications to the forms $x^m-2^n$ and $x^2-F_{3n}/2$ (with K.-J. Wu),
　 Math. Comp., accepted. arXiv:math.NT/0702382.
72. A variant of Tao's method with application to restricted sumsets (with S. Guo),
　 J. Number Theory, to appear. arXiv:0808.0243.
71. Zero-sum problems in abelian p-groups and covers of the integers by residue classes,
　 Israel J. Math., accepted. arXiv:math.NT/0305369.
70. Lucas-type congruences for cyclotomic $\psi$-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 numbers for a_1x_1+...+a_mx_m=x_0 (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 $w(x)=|{1\le s\le k: x \equiv a_s (mod n_s)}|$,
　 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 $|{a+b: a\in A, b\in B, P(a,b)\not=0}|$ (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 $\sum_{k\equiv r (mod m)}\binom nk$ 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 $2^n+cp$ (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 $c(2^a+2^b)+p^{\alpha}$ (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 $\sum^k_{s=1}x_s/n_s$,
　 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.