Welcome to Zhi-Hong Sun's Home Page

         Zhi-Hong Sun(孙智宏)         

School of Mathematical Sciences

Huaiyin Normal University

Huaian, Jiangsu 223001

The People's Republic of China

Email: zhihongsun@yahoo.com

    zhsun@hytc.edu.cn

　

This page has been visited times since February 25, 2003.

Last modified: March 23, 2012

Born: 16 October 1965 in Lianshui,Jiangsu, PR China

Research Areas: Number theory(数论), Combinatorics(组合数学),Extremal graph theory(极值图论)，Special functions(特殊函数）. 

Curriculum vitae  

Awards and Honours (Chinese): 

  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, 2001.2-); 美国数学会会员（Member of American Mathematical Society, 2004.4-).

Lecture Notes I (English):  1. Congruences for Fibonacci numbers   2. Some conjectures on congruences  

   3. Turan's problem and Ramsey numbers for (n,m) graphs

Lecture Notes II (Chinese): 1. 伟大数学家简介   2.数学研究名言录 3.数学基础和数学哲学 4.同余覆盖系 5.Fibonacci数  6.费尔马大定理 7.华林问题  8. 数论中的互反律 9. 四次多项式模素数的不同取值个数 10. p-正则函数及有关恒等式和同余式 11. 数学和数学家的故事 12. 数论史话

Lecture Notes III(Chinese): 1.卓越的人生艺术 2.怎样做研究工作 3.课堂教学艺术 4.人类航天史话 5.科学简史 6.从亚里斯多德到开普勒的天文学 7.伽利略和牛顿

Links to Number-Theory-Web ,Prime Pages， Math News, Biographies of Mathematicians and Rational Cubic  Reciprocity (Paul Pollack's talk).

                                　

Preprints in arXiv 

List of Zhi-Hong Sun's Publications

47.  Z.H.Sun, Ramsey numbers for trees, Bull. Austral. Math. Soc. (2012), DOI:10.1017/S0004972711003388.   

46.  Z.H.Sun, Some inversion formulas and formulas for Stirling numbers, Graphs and Combinatorics, available online on March 17, 2012.

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.

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.                                                                                           

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.