• 淮阴师范学院
  • 孙智宏
  • 研究方向
  • 奖项荣誉
  • 相关文献
  • 学术成果
  • Zhi-Hong Sun(孙智宏)
  • Mathematical Sciences School of HNU, Huaian, China.
  • Born in Lianshui, Jiangsu, China on October 16, 1965.
  • Email:zhihongsun@yahoo.com, zhsun@hytc.edu.cn
  • Curriculum vitae of Zhi-hong Sun
  • Last modified: October 22, 2014 ( This page has been visited: times )
    Research Areas
    Number theory(数论), Combinatorics(组合数学), Extremal graph theory(极值图论), Special functions(特殊函数).
    Awards and Honours
  • 江苏省普通高等学校优秀青年骨干教师(1994, 1996)
  • 全国师范院校曾宪梓教师奖三等奖(1999)
  • 江苏省师德模范(2000)
  • 江苏省中青年学术带头人(2002)
  • 江苏省优秀教育工作者(2004)
  • 全国优秀教师(2007)
  • 江苏省大学生最喜爱的教师(2011)
  • 美国数学评论评论员(Reviewer for Mathematical Reviews, 2001.02- .)
  • 美国数学会会员(Member of American Mathematical Society, 2004.04- .)
  • Lecture Notes I(English)
    Lecture Notes II(Chinese)
    Lecture Notes III(Chinese)
    List of Zhi-Hong Sun's Publications
  • 58.  Z.H.Sun, New reciprocity laws for octic residues and nonresidues,  J. Number Theory 147(2015), no.2, 694-707.
  • 57.  Z.H.Sun, Generalized Legendre polynomials and related supercongruences, J. Number Theory 143(2014), no.3, 293-319.
  • 56.  Z.H.Sun, Congruences concerning Lucas sequences, Int. J. Number Theory 10(2014), no.3, 793-815.
  • 55.  Z.H.Sun, Legendre polynomials and supercongruences, Acta Arith. 159(2013), no.2, 169-200.
  • 54.  Z.H.Sun, Congruences concerning Legendre polynomials III, Int. J. Number Theory 9(2013), no. 4, 965-999.
  • 53.  Z.H.Sun, On the quartic character of quadratic units, Acta Arith. 159(2013), no.1, 89-100.
  • 52.  Z.H.Sun, Congruences for q[p/8] (mod p), Acta Arith. 159(2013), no.1, 1-25.
  • 51.  Z.H.Sun, Congruences concerning Legendre polynomials II, J. Number Theory 133(2013), no. 6, 1950-1976.
  • 50.  Z.H.Sun, Congruences involving  , J. Number Theory 133(2013), no.5, 1572-1595.
  • 49.  Z.H.Sun, Some properties of a sequence analogous to Euler numbers, Bull. Austral. Math. Soc. 87(2013), no.3, 425-440.    
  • 48.  Z.H.Sun, Some inversion formulas and formulas for Stirling numbers, Graphs and Combinatorics 29(2013), no.4, 1087-1100. available online on March 17, 2012.
  • 47.  Z.H.Sun and L.L.Wang, An extension of Stern's congruence, Int. J. Number Theory 9(2013), no.2, 413-419.
  • 46.  Z.H.Sun, Ramsey numbers for trees, Bull. Austral. Math. Soc. 86(2012), no.1, 164-176.   
  • 45.  Z.H.Sun, Identities and congruences for a new sequence, Int. J. Number Theory 8(2012), no.1, 207-225.
  • 44.  Z.H.Sun, Congruences for sequences similar to Euler numbers, J. Number Theory 132(2012), no.4, 675-700.  
  • 43.  Z.H.Sun, Constructing x2 for primes p=ax2+by2 , Adv. in Appl. Math. 48(2012), no.1, 106-120. MR2012k:11041.
  • 42.  Z.H.Sun and L.L.Wang, Turan's problem for trees, J. Combin. Number Theory 3(2011), no.1, 51-69.
  • 41.  Z.H.Sun, Congruences for, Acta Arith. 149(2011), no.3, 275-296.MR2012f:11006, Zbl 1238.11005.
  • 40.  Z.H.Sun, Congruences concerning Legendre polynomials, Proc. Amer. Math. Soc. 139(2011), no.6, 1915-1929. MR2012c:11007, Zbl 1225.11006.
  • 39.  Z.H.Sun, On the number of representations of n by ax2+by(y-1)/2, ax2+by(3y-1)/2 and ax(x-1)/2+by(3y-1)/2, Acta Arith. 147(2011), no.1, 81-100. MR2012c:11090, Zbl 1221.11098.
  • 38.  Z.H.Sun, Binary quadratic forms and sums of triangular numbers, Acta Arith. 146(2011), no.3, 257-297. MR2012b:11058. Zbl 1222.11051.
  • 37.  Z.H.Sun, Euler numbers modulo 2n, Bull. Aust. Math. Soc. 82(2010), no.2, 221-231. MR2011i:11031. Zbl 1203.11027.
  • 36.  Z.H.Sun, On the number of representations of n by ax(x-1)/2+by(y-1)/2, J. Number Theory 129(2009), no.5, 971-989. available online on February 7, 2009. MR2010j:11061.
  • 35.  Z.H.Sun, Quartic, octic residues and Lucas sequences, J. Number Theory 129(2009), no.3, 499-550. available online on December 11, 2008. MR 2009k:11006. Zbl 1183.11001.
  • 34.  Z.H.Sun, The expansion of , Acta Arith. 134(2008), no.1, 11-29. MR2009j:11064. 
  • 33.  Z.H.Sun, On the quadratic character of quadratic units, J. Number Theory 128(2008), no.5, 1295-1335. available online on November 7, 2007. MR 2009c:11006. Zbl 1137.11003.
  • 32.  Z.H.Sun, Congruences involving Bernoulli and Euler numbers, J. Number Theory 128(2008), no.2, 280-312. available online on March 27, 2007. MR 2008m:11044. Zbl 1154.11010.
  • 31.  Z.H.Sun, Congruences involving Bernoulli polynomials, Discrete Math. 308(2008), no.1, 71-112. available online on March 24, 2007. MR 2009a: 11048. Zbl. 1138.11006.
  • 30.  Z.H.Sun, Cubic residues and binary quadratic forms, J. Number Theory 124(2007), no.1, 62-104. MR 2008c:11006. Zbl 1124.11006.
  • 29.  Z.H.Sun, A criterion for polynomials to be congruent to the product of linear polynomials (mod p), Fibonacci Quart. 44(2006), no.4, 326-329. MR 2008c:11005.
  • 28.  Z.H.Sun, On the number of incongruent residues of   modulo p, J. Number Theory 119(2006), no.2, 210-241. MR 2007f:11003.
  • 27.  Z.H.Sun, Expansions and identities concerning Lucas sequences, Fibonacci Quart. 44(2006), no.2, 145-153.MR 2007h:11023.
  • 26.  Z.H.Sun, Primality tests for numbers of the form , Fibonacci Quart. 44(2006), no.2, 121-130. MR 2007f:11141.
  • 25.  Z.H.Sun and K.S. Williams, Ramanujan identities and Euler products for a type of Dirichlet series, Acta Arithmetica 122(2006), no. 4, 349-393. MR 2007d:11053.
  • 24.  Z.H.Sun and K.S. Williams, On the number of representations of n by , Acta Arithmetica 122(2006), no. 2, 101-171. MR 2008d:11032, Zbl 1095.11024.
  • 23. Z.H.Sun, On the properties of Newton-Euler pairs, J. Number Theory 114(2005), no.1, 88-123. MR 2006g:11028.
  • 22. Z.H.Sun, Quartic residues and binary quadratic forms, J. Number Theory 113(2005), no.1, 10-52. MR 2006a:11002. Zbl 1101.11003.
  • 21. Z.H.Sun, Cubic and quartic congruences modulo a prime, J. Number Theory 102(2003),no.1, 41-89. MR 2004e:11004, Zbl 1033.11003.
  • 20. Z.H.Sun, Values of Lucas sequences modulo primes, Rocky Mountain J. Math. 33(2003),no.3,1123-1145. MR 2005c:11005. Zbl 1076.11009.
  • 19. Z.H.Sun, Consecutive numbers with the same Legendre symbol, Proc. Amer. Math. Soc.130(2002),no.9, 2503-2507. MR 2003d:11008, Zbl.1003.11001.  
  • 18. Z.H.Sun, Five congruences for primes, Fibonacci Quart.40(2002),no.4,345-351. MR 2003k:11004, Zbl.1009.11004.
  • 17. Z.H.Sun, Bernoulli numbers modulo and (Chinese), J. Huaiyin Teachers College(Nat.Sci.Edit.)1(2002),no.1,13-15.
  • 16. Z.H.Sun, Linear recursive sequences and powers of matrices, Fibonacci Quart.39(2001),no.4, 339-351. MR 2002f:11013, Zbl.1003.11002.
  • 15. Z.H.Sun, Invariant sequences under binomial transformation, Fibonacci Quart.39(2001),no.4, 324-333. MR 2002f:11012, Zbl.0987.05013
  • 14. Z.H.Sun, Supplements to the theory of quartic residues, Acta Arithmetica 97(2001),no.4, 361-377. MR 2002c:11007. Zbl 1049.11007.
  • 13. Z.H.Sun, Congruences concerning Bernoulli numbers and Bernoulli polynomials, Discrete Appl. Math. 105(2000),no.1-3,193-223. MR 2001m:11022,Zbl.0990.11008.
  • 12. Z.H.Sun, The inverse matrices, spectral condition numbers and invertible conditions of cyclic matrices (Chinese), J. Huaiyin Teachers College 21(1999), no.3, 6-13.
  • 11. Z.H.Sun, On the theory of cubic residues and nonresidues, Acta Arithmetica 84(1998),no.4, 291-335. MR 99c:11005, Zbl.0912.11002.
  • 10. Z.H.Sun, Congruences for Bernoulli numbers and Bernoulli polynomials, Discrete Mathematics 163(1997),no.1-3,153-163. MR 98b:05001,Zbl.0872.11012.
  • 9. Z.H.Sun, A supplement to the binomial inversion formula(Chinese), J. Nanjing Univ. Math. Biquarterly 12(1995),no.2,264-271. MR 97d:05009, Zbl.0871.11012.(List of the main results)
  • 8. Z.H.Sun, The combinatorial sum and its applications in number theory III(Chinese), J. Nanjing Univ. Math. Biquarterly 12(1995),no.1,90-102. MR 96g:11017,Zbl.0862.11023. (List of the results)
  • 7. Z.H.Sun, The combinatorial sum  and its applications in number theory II(Chinese), J. Nanjing Univ. Math. Biquarterly 10(1993),no.1,105-118. MR 94j:11021, Zbl.0808.11016. (List of the results)
  • 6. Z.H.Sun, The combinatorial sum  and its applications in number theory I(Chinese), J. Nanjing Univ. Math. Biquarterly 9(1992),no.2,227-240. MR 94a:11026, Zbl.0783.11010. (List of the results)
  • 5. Z.H.Sun, Notes on quartic residue symbol and rational reciprocity laws (Chinese), J. Nanjing Univ. Math. Biquarterly 9(1992),no.1,92-101. MR 94b:11007, Zbl.0791.11001.(List of the results)
  • 4. Z.H.Sun and Z.W.Sun, Fibonacci numbers and Fermat's last theorem, Acta Arithmetica 60(1992),no.4, 371-388. MR 93e:11025, Zbl.0725.11009.
  • 3. Z.H.Sun, Maximum size of graphs with girth not less than a given number (Chinese), J. Nanjing Univ. 27(1991),Special Issue,43-50,146. MR 93b:05086. (List of the main results)
  • 2. Z.H.Sun, A class of problems of Turan type (Chinese), J. Nanjing Univ. Math. Biquarterly 8(1991),no.1,87-98. MR 92m:05106. (List of the results)
  • 1. Z.W.Sun and Z.H.Sun, Some results on covering systems of congruences (Chinese), J. Southwest Teachers Univ. (Nat.Sci.Edit.)(1987), no.1, 10-15. Zbl.0749.11018.
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