List of Zhi-Wei Sun's Publications (2000-2007) [Preprints, 2008-, 1987-1999, SCI papers] | |||||||
99. Groups in combinatorial number theory,
in: Proceedings of the 4th International Congress of Chinese Mathematicians (Hangzhou, 2007), Vol. I, Higher Education Press, Beijing, 2007, pp. 475--495. 98. A characterization of covering equivalence (with H. Pan), Acta Arith. 129(2007), no.4, 397-402. 97. 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] 96. A survey of problems and results on restricted sumsets, in: Number Theory (edited by S. Kanemitsu and J.-Y. Liu), World Sci., Singapore, 2007, pp. 190--213. 95. On Fleck quotients (with D. Wan), Acta Arith. 127(2007), no.4, 337--363. 94. Mixed sums of squares and triangular numbers (II) (with S. Guo and H. Pan), Integers: Electron. J. Combin. Theory 7(2007), #A56, 5 pp. 93. A sharp result on m-covers (with H. Pan), Proc. Amer. Math. Soc. 135(2007), no.11, 3515--3520. 92. Combinatorial congruences and Stirling numbers, Acta Arith. 126(2007), no.4, 387--398. 91. Combinatorial congruences modulo prime powers (with D. M. Davis), Trans. Amer. Math. Soc. 359(2007), no.11, 5525--5553. 90. An extension of a curious binomial identity (with K. J. Wu), Int. J. Mod. Math. 2(2007), no.2, 247--251. 89. On the number of zero-sum subsequences (with H.-Q. Cao), Discrete Math. 307(2007), no.13, 1687--1691. 88. Mixed sums of squares and triangular numbers, Acta Arith. 127(2007), no.2, 103--113. 87. A number-theoretic approach to homotopy exponents of SU(n) (with D. M. Davis), J. Pure Appl. Algebra 209(2007), no.1, 57--69. 86. 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] 85. Simple arguments on consecutive power residues, J. Number Theory 124(2007), no.1, 57--61. 84. On covering numbers, INTEGERS: Electron. J. Combin. Number Theory 7(2007), no.2, #A33, 11pp (electronic). 83. Identities concerning Bernoulli and Euler polynomials (with H. Pan), Acta Arith. 125(2006), no.1, 21--39. 82. Finite covers of groups by cosets or subgroups, Internat. J. Math. 17(2006), no.9, 1047--1064. 81. A combinatorial identity with application to Catalan numbers (with H. Pan), Discrete Math. 306(2006), no.16, 1921--1940. [Ranked 5th among the most downloaded articles during July-Sept. in 2006] 80. On the unique representability of spikes over prime fields (with Z. Y. Wu), Discrete Math. 306(2006), no.15, 1798--1804. 79. On q-Euler numbers, q-Sali\'e numbers and q-Carlitz numbers (with H. Pan), Acta Arith. 124(2006), no.1, 41--57. 78. Binomial coefficients and quadratic fields, Proc. Amer. Math. Soc., 134(2006), no.8, 2213--2222. 77. Restricted sumsets and a conjecture of Lev (with H. Pan), Israel J. Math., 154(2006), no.1, 21--28. 76. Polynomial extension of Fleck's congruence, Acta Arith., 122(2006), no.1, 91--100, 75. New identities involving Bernoulli and Euler polynomials (with H. Pan), J. Combin. Theory Ser. A 113(2006), no.1, 156--175. [Ranked 8th among the most downloaded articles during Jan.-March in 2006] Original version: arXiv:math.NT/0407363 and arXiv:math.NT/0408223. 74. Explicit congruences for Euler polynomials, Number Theory, pp. 205--218, Dev. Math., 15, Springer, New York, 2006. 73. A local-global theorem on periodic maps, J. Algebra 293(2005), no.2, 506--512. 72. 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] 71. On various restricted sumsets (with Y. N. Yeh), J. Number Theory 114(2005), no.2, 209--220. 70. On odd covering systems with distinct moduli (with S. Guo), Adv. in Appl. Math. 35(2005), no.2, 182--187. 69. On the range of a covering function, J. Number Theory 111(2005), no.1, 190--196. MR 2005m:11015. [Ranked 8th among the most downloaded articles during Jan.-March. in 2005] 68. 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. 67. Two local-global results in combinatorial number theory (Chinese), Bull. Chinese Math. Soc. 2004, no.4, 13--17. 66. A reciprocity law for uniform functions (with L. Tao), Nanjing Univ. J. Math. Biquarterly 21(2004), no.2, 201--205. MR 2006a:11004; Zbl. M. 1066.11003. 65. Arithmetic properties of periodic maps, Math. Res. Lett. 11(2004), no.2, 187--196. MR 2005g:11015. 64. 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. 63. On the Herzog-Sch\"onheim conjecture for uniform covers of groups (Abstract), J. Algebra 273(2004), no.1, 153--175. MR 2005d:20074; Zbl. M. 1067.20057. 62. On the function $w(x)=|{1\le s\le k: x \equiv a_s (mod n_s)}|$, Combinatorica 23(2003), no.4, 681--691. MR 2004m:11013; Zbl. M. 1047.11014. 61. On Snevily's conjecture and restricted sumsets, J. Combin. Theory Ser. A 103(2003), no.2, 291--304. MR 2004k:11026; Zbl. M. 1042.11016. 60. Combinatorial identities in dual sequences, European J. Combin. 24(2003), no.6, 709--718. MR 2004g:05017; Zbl. M. 1024.05010. 59. Unification of zero-sum problems, subset sums and covers of Z (Research Announcement), Electron. Res. Announc. Amer. Math. Soc., 9(2003), 51--60. MR 2004i:11017; Zbl. M. 1062.11015. [Submitted on 2003-03-20 and communicated by R. L. Graham.] 58. 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. 57. 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).] 56. 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. 55. 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. 54. Sums of subsets with polynomial restrictions (with J. X. Liu), J. Number Theory, 97(2002), no.2, 301--304. MR 2004c:11027; Zbl. M. 1034.11021. 53. Generalizations of Knopp's identity (with B. F. Chen), J. Number Theory, 97(2002), no.1, 186--198. MR 2003i:11054; Zbl. M. 1033.11017. 52. On systems of linear diophantine equations and linear congruences (Chinese, English summary) (with H. Pan), Nanjing Univ. J. Math. Biquarterly, 19(2002), no.1, 61--67. MR 2003d:11037. 51. On the sum $\sum_{k\equiv r (mod m)}\binom {n}{k}$ and related congruences, Israel J. Math., 128(2002), 135--156. MR 2003d:11026. 50. Sums of minima and maxima, Discrete Math., 257(2002), no.1, 143--159. MR 2003g:11037; Zbl. M. 1007.05018. 49. Restricted sums in a field (with Q. H. Hou), Acta Arith., 102(2002), no.3, 239--249. MR 2003e:11025; Zbl. M. 0988.11008. 48. A curious identity involving binomial coefficients, Integers: Electronic J. Combin. Number Theory, 2(2002), A04, 8 pp. MR 2003b:05018; Zbl. M. 0986.05012. 47. 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. 46. On covering equivalence, in: `Analytic Number Theory' (Beijing/Kyoto, 1999), 277--302, Dev. Math., 6, Kluwer Acad. Publ., Dordrecht, 2002. MR 2003g:11014; Zbl. M. 1026.11020. 45. An extension of Lucas' theorem (with H. Hu), Proc. Amer. Math. Soc., 129(2001), no.12, 3471--3478. MR 2002i:11019. 44. Hall's theorem revisited, Proc. Amer. Math. Soc., 129(2001), no.10, 3129--3131. MR 2002h:05007; Zbl. M. 0966.05067. 43. 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. 42. Restricted sums of subsets of $\Bbb Z$, Acta Arith., 99(2001), no.1, 41--60. MR 2002j:11016; Zbl. M. 0974.11009. 41. On n-dimensional covering systems (Chinese) (with Z. Hu), Nanjing Univ. J. Natur. Sci., 37(2001), no.4, 486--492. MR 2002j;11006; Zbl. M. 1035.11005. 40. A note on the Erd\"os-Ginzburg-Ziv theorem (with J.-X. Liu), Nanjing Univ. J. Natur. Sci., 37(2001), no.4, 473--476. MR 2002j:11014. 39. 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. 38. Algebraic approaches to periodic arithmetical maps, J. Algebra, 240(2001), no.2, 723--743. MR 2002f:11009; Zbl. M. 0974.11007. 37. Exact m-covers of groups by cosets, European J. Combin., 22(2001), no.3, 415--429. MR 2002a:20026; Zbl. M. 0980.20032. 36. Products of binomial coefficients modulo $p^2$, Acta Arith., 97(2001), no.1, 87--98. MR 2002m:11013; Zbl. M. 0986.11009. 35. Some identities on linear recurrent sequences of second order (Chinese, English abstract) (with H. Hu), Nanjing Univ. J. Math. Biquarterly, 17(2000), no.1, 86--92. MR 2001e:11012; Zbl. M. 1020.11013. 34. 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. |
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