基本简介

孙智伟，男，1965年10月生。1992年毕业于南京大学数学系，获理学博士学位。

1993年10月应邀赴香港大学作短期访问并作了专题报告。1995.9-1996.9赴意大利Trento大学进修,还应邀访问了Pisa大学、Genova大学等。美国数学会会员,美国(Math.Reviews)数学评论员,纽约科学院院士。   

研究方向: 数论，组合，离散数学，群论，数理逻辑数论，尤其是组合数论中的覆盖理论(包括整数环中的同余覆盖系、群或陪集覆盖、覆盖的各种推广与应用)以及与逻辑有交叉的Hilbert第十问题等判定性问题。

发表论文

01. Some results on covering systems of congruences (Chinese, English abstract) (with Z. H. Sun), J. Southwest-China Teachers Univ., 1987, no.1, 10--15. Zbl. M. 749.11018.

02. Some results on recursive functions (Chinese, English abstract),Nanjing Univ. J. Math. Biquarterly, 4(1987), no.2, 196--206. Zbl. M. 657.03022. 

03. A necessary and sufficient condition for two linear diophantine equations to have a common solution (Chinese, English abstract), Nanjing Univ. J. Natur. Sci., 25(1989), no.1, 10--17. MR 90i:11026; Zbl. M. 686.10009. 

04. Several results on systems of residue classes, Adv. Math. (China), 18(1989), no.2, 251--252. 

05. Systems of congruences with multipliers (Chinese, English abstract), Nanjing Univ. J. Math. Biquarterly, 6(1989), no.1, 124--133. MR 90m:11006; Zbl. M. 703.11002. 

06. Finite coverings of groups, Fund. Math., 134(1990), no.1, 37--53. MR 91g:20031; Zbl. M. 717.20020. 

07. On a generalization of a conjecture of Erd\“os, Nanjing Univ. J. Natur. Sci., 27(1991), no.1, 8--15. MR 92f:11008; Zbl. M. 805.11017. 

08. A theorem concerning systems of residue classes, Acta Math. Univ. Comenian. (N. S.), 60(1991), no.1, 123--131. MR 92f:11007; Zbl. M. 734.11022. 

09. An improvement to the Zn\‘am-Newman result (Chinese, English abstract), Chinese Quart. J. Math., 6(1991), no.3, 90--96.

10. On covering systems with distinct moduli (Chinese, English abstract), J. Yangzhou Teachers College (Nat. Sci. Ed.), 11(1991), no.3, 21--27. 

11. Some diophantine representations related to $\binom{PX}{QX}$ (Chinese, English abstract), in: Selected Papers on BCI and BCK Algebras and Computer Logics (edited by B.-Y. Shen), Shanghai Jiaotong Univ. Press, Shanghai, 1991, 131--138. 

12. 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. 

13. Singlefold Diophantine representation of the sequence $u_0=0, u_1=1$ and $u_{n+2}=mu_{n+1}+u_n$, in: Pure and Applied Logic (edited by J.-W. Zhang), Beijing Univ. Press, Beijing, 1992, 97--101. 

14. 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. 

15. 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. 

16. On disjoint residue classes, Discrete Math., 104(1992), no.3, 321--326. MR 93d:11005; Zbl. M. 755.11002. 

17. On exactly m times covers, Israel J. Math., 77(1992), no.3, 345--348. MR 93k:11007; Zbl. M. 768.11001. 

18. Solutions to two problems of Huhn and Megyesi (Chinese), Chinese Ann. Math. Ser. A, 13(1992), no.6, 722--727. MR 94c:11001; Zbl. M. 770.11003.

19. Definition of degree of unsolvablity on real numbers (with X. Z. Zheng and D. C. Ding), Chinese Sci. Bull. (Chinese Edition), 38(1993), no.3, 203--206. 

20. Jone‘s work on Hilbert‘s tenth problem and related topics (Chinese, English abstract), Adv. Math. (China), 22(1993), no.4, 312--331. MR 94j:03089; Zbl. M. 791.03005. 

21. Equivalent propositions about R-reconstructions in open logic (with K. L. Su), Nanjing Univ. J. Math. Biquarterly, 11(1994), no.1, 6--9. MR 95k:68219; Zbl. M. 808.03012. 

22. Fixed points of a class of operators in open logic (with K. L. Su, D. C. Ding and L. Qian), Acta Sci. Natur. Univ. Norm. Hunan., 17(1994), no.3, 21--23. MR 96c:68189; Zbl. M. 816.03014. 

23. Class of models for a rejection by reasonal facts (with K. L. Su, D. C. Ding and L. Qian), Chinese J. Comput., 17(1994), no.5, 361--366. 

24. Reconstructions and epistemic processes in the open logic system (with K. L. Su, D. C. Ding and L. Qian), in: Proc. of the National Confer. on the Fundamental Theories of Artificial Intelligence, Tsinghua Univ. Press, Beijing, 1994, pp. 163--168.  

25. A congruence for primes, Proc. Amer. Math. Soc., 123(1995), no.5, 1341--1346. MR 95f:11003; Zbl. M. 833.11001. 

26. Covering the integers by arithmetic sequences, Acta Arith., 72( 1995), no.2, 109--129. MR 96k:11013; Zbl. M. 841.11011. 

27. Covering the integers by arithmetic sequences II, Trans. Amer. Math. Soc., 348(1996), no.11, 4279--4320. MR 97c:11011; Zbl. M. 884.11013. 

28. Values of Bernoulli polynomials (with A. Granville), Pacific J. Math., 172(1996), no.1, 117--137. MR 98b:11018; Zbl. M. 856.11008. 

29. The continuum Hypothesis and Turing degrees (with K. L. Su and D. C. Ding), Acta Math. Sinica, 39(1996), no.1, 71--75. MR 97e:03064; Zbl. M. 863.03023. 

30. 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. 

31. On sums of distinct representatives (with H.-Q. Cao), Acta Arith., 87(1998), no.2, 159--169. MR 99k:11021; Zbl. M. 920.11010. 

32. Covers with less than 10 moduli and their applications (with S.-M. Yang), J. Southeast Univ. (English Edition), 14(1998), no.2, 106--114. MR 2000i:11157; Zbl. M. 1008.11003. 

33. On covering multiplicity, Proc. Amer. Math. Soc., 127(1999), no.5, 1293--1300. MR 99h:11012; Zbl. M. 917.11006. 

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. 

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. 

36. Products of binomial coefficients modulo $p^2$, Acta Arith., 97(2001), no.1, 87--98. MR 2002m:11013; Zbl. M. 0986.11009. 

37. Exact m-covers of groups by cosets, European J. Combin., 22(2001), no.3, 415--429. MR 2002a:20026; Zbl. M. 0980.20032. 

38. Algebraic approaches to periodic arithmetical maps, J. Algebra, 240(2001), no.2, 723--743. MR 2002f:11009; Zbl. M. 0974.11007. 

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. 

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. 

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. 

42. Restricted sums of subsets of $\Bbb Z$, Acta Arith., 99(2001), no.1, 41--60. MR 2002j:11016; Zbl. M. 0974.11009. 

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. 

45. An extension of Lucas‘ theorem (with H. Hu), Proc. Amer. Math. Soc., 129(2001), no.12, 3471--3478. MR 2002i:11019. 

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. 

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. 

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. 

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. 

50. Sums of minima and maxima, Discrete Math., 257(2002), no.1, 143--159. MR 2003g:11037; Zbl. M. 1007.05018. 

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. 

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. 

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. 

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. 

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. 

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. 

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).] 

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. 

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.] 

60. Combinatorial identities in dual sequences, European J. Combin. 24(2003), no.6, 709--718. MR 2004g:05017; Zbl. M. 1024.05010. 

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. 

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. 

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. 

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. 10

64.11019. 

65. Arithmetic properties of periodic maps, Math. Res. Lett. 11(2004), no.2, 187--196. MR 2005g:11015. 

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. 

67. Two local-global results in combinatorial number theory (Chinese), Bull. Chinese Math. Soc. 2004, no.4, 13--17. 

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. 

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] 

70. On odd covering systems with distinct moduli (with S. Guo), Adv. in Appl. Math. 35(2005), no.2, 182--187. 

71. On various restricted sumsets (with Y. N. Yeh), J. Number Theory 114(2005), no.2, 209--220. 

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] 

73. A local-global theorem on periodic maps, J. Algebra 293(2005), no.2, 506--512. 

74. Explicit congruences for Euler polynomials, Number Theory, pp. 205--218, Dev. Math., 15, Springer, New York, 2006. 

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. 

76. Polynomial extension of Fleck‘s congruence, Acta Arith., 122(2006), no.1, 91--100, 

77. Restricted sumsets and a conjecture of Lev (with H. Pan), Israel J. Math., 154(2006), no.1, 21--28. 

78. Binomial coefficients and quadratic fields, Proc. Amer. Math. Soc., 134(2006), no.8, 2213--2222. 

79. On q-Euler numbers, q-Sali\‘e numbers and q-Carlitz numbers (with H. Pan), Acta Arith. 124(2006), no.1, 41--57. 

80. On the unique representability of spikes over prime fields (with Z. Y. Wu), Discrete Math. 306(2006), no.15, 1798--1804. 

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] 

82. Finite covers of groups by cosets or subgroups, Internat. J. Math. 17(2006), no.9, 1047--1064. 

83. Identities concerning Bernoulli and Euler polynomials (with H. Pan), Acta Arith. 125(2006), no.1, 21--39. 

84. On covering numbers, INTEGERS: Electron. J. Combin. Number Theory 7(2007), no.2, #A33, 11pp (electronic). 

85. Simple arguments on consecutive power residues, J. Number Theory 124(2007), no.1, 57--61. 

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] 

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. 

88. Mixed sums of squares and triangular numbers, Acta Arith. 127(2007), no.2, 103--113. 

89. On the number of zero-sum subsequences (with H.-Q. Cao), Discrete Math. 307(2007), no.13, 1687--1691. 

90. An extension of a curious binomial identity (with K. J. Wu), Int. J. Mod. Math. 2(2007), no.2, 247--251. 

91. Combinatorial congruences modulo prime powers (with D. M. Davis), Trans. Amer. Math. Soc. 359(2007), no.11, 5525--5553. 

92. Combinatorial congruences and Stirling numbers, Acta Arith. 126(2007), no.4, 387--398. 

93. A sharp result on m-covers (with H. Pan), Proc. Amer. Math. Soc. 135(2007), no.11, 3515--3520. 

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. 

95. On Fleck quotients (with D. Wan), Acta Arith. 127(2007), no.4, 337--363. 

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. 

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] 

98. A characterization of covering equivalence (with H. Pan), Acta Arith. 129(2007), no.4, 397-402. 

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. 

100. 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. 

101. On value sets of polynomials over a field, Finite Fields Appl. 14(2008), no.2, 470--481. 

102. On sums of binomial coefficients and their applications, Discrete Math. 308(2008), no.18, 4231--4245. 101. On value sets of polynomials over a field, Finite Fields Appl. 14(2008), no.2, 470--481. 

103. On covers of abelian groups by cosets (with G. Lettl), Acta Arith. 131(2008), no.4, 341--350. 

104. Lucas-type congruences for cyclotomic ψ-coefficients (with D. Wan), Int. J. Number Theory 4(2008), no.2, 155--170. 

105. Chinese Edition of the Book: A Friendly Introduction to Number Theory (3rd Ed.) by J. H. Silverman (translated with K.-J. Wu, Q.-L. Lu and H.-Q. Cao), Pearson Education and China Machine Press, 2008. 

106. An additive theorem and restricted sumsets, Math. Res. Lett. 15(2008), no.6, 1263-1276. 

107. A variant of Tao‘s method with application to restricted sumsets (with S. Guo), J. Number Theory 129(2009), no.2, 434-438. 

108. Zero-sum problems for abelian p-groups and covers of the integers by residue classes, Israel J. Math. 170(2009), 235--252. 

109. On sums of primes and triangular numbers, Journal of Combinatorics and Number Theory, 1(2009), no.1, 65--76. arXiv:0803.3737. 

110. On Bialostocki‘s conjecture for zero-sum sequences (with S. Guo), Acta Arith., 140(2009), no.4, 329--334. 

111. Mixed sums of squares and triangular number (III) (with B. K. Oh), J. Number Theory 129(2009), no.4, 964-969. 

112. A new extension of the Erdos-Heilbronn conjecture (with H. Pan), J. Combin. Theory Ser. A 116(2009), no.8, 1374--1381. 

113. 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. 

114. On m-covers and m-systems, Bull. Austral. Math. Soc. 81(2010), no.2, 223--235. 

115. 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. 

116. Mixed sums of primes and other terms, in: Additive Number Theory (edited by D. Chudnovsky and G. Chudnovsky), pp. 341-353, Springer, New York, 2010. 

117. New congruences for central binomial coefficients (with R. Tauraso), Adv. in Appl. Math. 45(2010), no.1, 125--148. 

118. Symmetric identities for Euler polynomials (with Y. Zhang and H. Pan), Graphs and Combinatorics 26(2010), no.5, 745--753. 

119. Binomial coefficients, Catalan numbers and Lucas quotients, Sci. China Math., 53(2010), no.9, 2473--2488. 

120. Some curious congruences modulo primes (with L.-L. Zhao), J. Number Theory 130(2010), no.4, 930--935. 

121. On 2-adic orders of some binomial sums (with H. Pan), J. Number Theory 130(2010), no.12, 2701--2706. 

122. On almost universal mixed sums of squares and triangular numbers (with B. Kane), Trans. Amer. Math. Soc. 362(2010), no.12, 6425--6455. 

123. On some new congruences for binomial coefficients (with R. Tauraso), Int. J. Number Theory 7(2011), no.3, 645--662. 

124. Exterior algebras and two conjectures on finite abelian groups (with T. Feng and Q. Xiang), Israel J. Math. 182(2011), no.1, 425--437. 

125. On a curious property of Bell numbers (with D. Zagier), Bull. Aust. Math. Soc. 84(2011), no.1, 153-158. ((Initial arXiv version). 

126. p-adic valuations of some sums of multinomial coefficients, Acta Arith. 148(2011), no.1, 63-76. 

127. On congruences related to central binomial coefficients, J. Number Theory 131(2011), no.11, 2219-2238. 

128. On Delannoy numbers and Schroder numbers, J. Number Theory 131(2011), no.12, 2387-2397. 

129. Binomial coefficients and the ring of p-adic integers (with W. Zhang), Proc. Amer. Math. Soc. 139(2011), no.5, 1569--1577. 

130. Super congruences and Euler numbers, Sci. China Math. 54(2011), no.12, 2509--2535. 

131. Arithmetic theory of harmonic numbers, Proc. Amer. Math. Soc. 140(2012), no.2, 415--428. 

132. On harmonic numbers and Lucas sequences, Math. Publ. Debrecen 80(2012), no.1-2, 25--41. 

133. Linear exntension of the Erdos-Heilbronn conjecture (with Lilu Zhao), J. Combin. Theory Ser. A 119(2012), no.2, 364-381. 

134. On weighted zero-sum sequences (with S. D. Adhikari and D. J. Grynkiewicz), Adv. in Appl. Math. 48(2012), no.3, 506-527. 

135. On sums of binomial coefficients modulo p2, Colloq. Math. 127(2012), no.1, 39-54. 

136. Some q-congruences related to 3-adic valuations (with H. Pan), Adv. in Appl. Math. 49(2012), no.3-5, 263-270. 

137. On sums of Apery polynomials and related congruences, J. Number Theory 132(2012), no.11, 2673-2699. 

138. On sums involving products of three binomial coefficients, Acta Arith. 156(2012), no.2, 123-141. 

139. Conjectures and results on x2 mod p2 with 4p=x2 + dy2, in: Number Theory and Related Area (eds., Y. Ouyang, C. Xing, F. Xu and P. Zhang), Higher Education Press & International Press, Beijing and Boston, 2013, pp. 147-195. 

140. On a sequence involving sums of primes, Bull. Aust. Math. Soc., to appear. arXiv:1207.7059. 

141. On sums related to central binomial and trinomial coefficients, in: Combinatorial and Additive Number Theory: CANT 2011 (ed., M. B. Nathanson), Springer, 2013. [This paper contains many conjectures on congruences and 62 proposed series for 1/π. Initial version: arXiv:1101.0600] 

142. Conjectures involving arithmetical sequences, in: Number Theory: Arithmetic in Shangri-La (eds., S. Kanemitsu, H. Li and J. Liu), Proc. 6th China-Japan Seminar (Shanghai, August 15-17, 2011), World Sci., Singapore, 2013, pp. 244-258. 

143. A refinement of a congruence result by van Hamme and Mortenson, Illinois J. Math., accepted. arXiv:1011.1902 

144. 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] 

145. Arithmetic theory of harmonic numbers (II) (with Li-Lu Zhao), Colloq. Math. 130(2013), no.1, 67--78. 

146. On divisibility of binomial coefficients, J. Austral. Math. Soc., in press. arXiv:1005.1054. 

147. Fibonacci numbers modulo cubes of primes,Taiwanese J. Math., in press. [Initial version: arXiv:0911.3060] 

148. Supercongruences involving products of two binomial coefficients,Finite Fields Appl. 22(2013), 24-44. 

149. On functions taking only prime values,J. Number Theory, in press. arXiv:1202.6589. 

获奖情况

1.1993年获南大新星科学奖

 2.1994年被评为江苏省与南大青年学术骨干,南大跨世纪启明星 

3.1995年被授予“江苏省新长征突击手”称号 

4.1996年获南大崔家骥数学奖 

5.1997年荣获省96年度科技进步二等奖(独立完成) 

6.1998年荣获第五届江苏省青年科技奖(事迹见1998.3.26<<新华日报>>) 

7.“关于覆盖系等数论问题的研究”1996年通过了省教委组织的鉴定获江苏省96年度科技进步二等奖 

8.1998年，获江苏省委组织部、江苏省科协、江苏省人事厅“第五届江苏省青年科技奖” 

 Man-Ying Xu Award, Department of Mathematics, Nanjing University, 1986. 

 Yingsong Award, the First Prize, Nanjing University, 1989. 

 Guanghua Award, the First Prize, Nanjing Uinversity, 1990 and 1991. 

 Award for New Scientific Stars, Nanjing University, 1993. 

 An Excellent Young Backbone at Universities in Jiangsu Province, Educational Committee of Jiangsu Province, 1994. Curriculum vitae collected in Marquis Who‘s Who in the World (12ed.--), 1995--. The Second Prize of Jiangsu Advance Award for Science and Technology (Keji Jinbu Jiang), Jiangsu Province, 1996. Jia-Ji Chei Math. Award, Dept. of Math., Nanjing University, 1996. Membership invited by New York Academy of Sciences, 1997. Award for Young Promising Stars, Nanjing University, 1997. Award in Science and Technology for Youths in Jiangsu Province, Jiangsu Scientific Association, 1998. Teaching and Research Award for Outstanding Young Teachers at (Chinese) Universities, Chinese Ministry of Education, 2000. Visiting Professor Position at Institute of Camille Jordan, Univ. Lyon I (France), Jan. 11--March 10, 2005. Visiting Professor Position and Visiting Researcher Position, Univ. California at Irvine (USA), Oct. 1, 2005--March 31, 2006. Editor-in-Chief of International Journal of Modern Mathematics, 2007--. Editor-in-Chief of Journal of Combinatorics and Number Theory (to be launched in 2009). Editorial board member of International Journal of Number Theory, 2009--.

讲授课程

1.基础数论 Basic Number Theory

2.组合数学、离散数学 Combinatorial Number Theory, Algebraic Number Theory

3.数学思想方法 Combinatorics, Discrete Math., Mathematical Thoughts and Methods

4.解析数论、代数数论、加法数论 

5.p－adic域 

6.分圆域与互反律 

7.Advanced Algebra, Modern Algebra, College Math.

8.Mathematical Logic, Set Theory, Recursion Theory, Model Theory. 

9.Discrete Mathematics for CS (Univ. California at Irvine, Fall, 2005). Math. 2B: Calculus (Univ. California at Irvine, Winter, 2006).    

科研项目

1.2000-2002，主持国家自然科学基金项目“关于算术级数的若干著名课题” 

2.1997.10，主持国家教委留学归国人员科研基金项目“整数环与群的覆盖理论及相关问题” 

3.1998，主持南京市留学归国人员科研基金项目“关于覆盖等组合数论课题的探讨” 

4.1995-1997，主持国家自然科学青年基金项目“广义Hilbert第十问题及有关数论问题” 

5.1992-1994，参加国家自然科学基金项目“圆法、筛法第十问题及组合数论” 

6.1994-1996，主持江苏省自然科学基金项目“人工智能与探索逻辑” 7.1991-1993，参加国家自然科学青年基金项目“可化归度、计算复杂性及其在人工智能研究中的应用” 

7.The Natural Science Foundation of Jiangsu Province, 　 BK93004104, 1994--1996. 

8.Generalized Hilbert‘s tenth problem and related number-theoretic problems, 　 The National Natural Science Foundation of PRC, 　 19401019, 1995--1997. 

9.The Return-from-abroad Foundation of the Chinese Educational Committee, 　 (1997)436, 1997--1998. 

10.The Return-from-abroad Foundation of Nanjing City, 1998. 

11.Some famous topics concerning arithmetic progressions, 　 The National Natural Science Foundation of PRC, 　 19971038, 2000--2002. 

12.The Teaching and Research Program for Outstanding Young Teachers 　 in Higher Education Institutions of MOE of China, 2000--2004. 

13.Algebraic methods in combinatorics, 　 The National Natural Science Foundation of PRC, 2004--2007.  

14.On some number-theoretic topics related to combinatorics and algebra, 　 The National Science Fund for Distinguished Young Scholars in P. R. China, 2005--2008. 

15.Combinatorial number theory and p-adic congruences, 　 The National Natural Science Foundation of PRC, 2009--2011.

任职情况

Editor-in-Chief of Journal of Combinatorics and Number Theory, 2009--. 　　　　 　　　 

Editorial Board Member of International Journal of Number Theory, 2009--. 　　　 

Reviewer for Zentralblatt Math., 2007--. 　　　 

Reviewer for Mathematical Reviews, 1992--. 　　　 

Member of the American Mathematical Society, 1993--. 　　　 

Referee for Proc. Amer. Math. Soc., Acta Arith., J. Number Theory, J. Combin. Theory Ser. A, European J. Combin., 　　　　

Finite Fields Appl., Adv. in Appl. Math., Discrete Math., Discrete Appl. Math., Ramanujan J., SIAM Review etc.