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山东大学数学学院博(硕)导师展涛简介

【更新时间:2008-11-03】【阅读次数:

姓名:展涛

性别:男

出生年月:1963年

学历:博士

专业技术职务:教授

担任博导时间:1993.12

行政职务:山东大学校长

展涛教授



学习与工作经历

1979年入山东大学数学系学习,先后获得学士、硕士、博士学位。
1987.12-1988.12 山东大学数学系讲师
1988.12-1993.01 山东大学数学系副教授
(其间:1991.1-1992.12 获德国洪堡基金会奖励基金, 赴德国弗莱堡大学从事合作研究)
1993.01-1993.04 山东大学数学系副教授、教授(93.03)
1993.04-1995.03 山东大学数学系副主任,93.12博士生导师
1995.03-2000.07 山东大学副校长(其间:1996.02月-1996.07 赴香港大学从事合作研究)
2000.07至今 山东大学党委常委、校长

研究领域介绍

“哥德巴赫型”问题研究
素变数三角和估计
算术级数中的均值定理
Riemann Zeta函数和Dirichlet L函数
数论与代数安全计算

科研成果

主要论文:

  1. On the Distribution of K-full Integers Science in China(A), vol.32 (1989), 20-37.
  2. On the Distribution of K-full Integers II Chin. Adv. Math., vol.17, No.1(1988), 94-96.
  3. On the Error Function of Square-full Integers Chin. Ann. Math.(Ser B), vol.10, No.2(1989), 227-235.
  4. Bombieri's Theorem in Short Intervals Acta Math. Sinica (New Series), vol.5, No.1(1989), 37-47.
  5. On the Representation of Large Odd Integers as Sum of Three Almost Equal Primes Acta Math. Sinica (New Series), vol.7, No.3(1991), 259-272.
  6. Davenport's Theorem in Short Intervals Chin. Ann. Math.(Ser B),vol.12, No.4(1991), 421-431.
  7. On the Mean Square of Dirichlet L-functions Acta Math. Sinica (New Series), vol.8, No.2(1992), 204-224.
  8. On the Distribution of Integers with a Fixed Number of Prime Factors Math. Z., vol.213 (1993), 133-147 (joint with Dieter Wolke).
  9. Some Remarks on the Binary Goldbach Problem Arch. Math., vol.16 (1993), 241-249 (joint with Dieter Wolke).
  10. A Generalization of the Goldbach-Vinogradov Theorem Acta Arith., vol.71 (1995), 95-106.
  11. A Generalization of Bombieri's Theorem and Its Applications Science in China (Series A), vol. 38, No.12 (1995), 1432-1443 (joint with Jiafa Lin).
  12. Some Almost-all Results concerning the Sapiro Primes Chin. Ann. Math.(Ser B), vol.17, No.3 (1996), 279-288 (joint with Dietmar Fischer).
  13. On Sum of Five Almost Equal Prime Squares Acta Arith., vol.77 (1996), 369-383 (joint with Jianya Liu).
  14. Exponential Sums involving the Mobius Function Indag. Mathem., New Series, vol.7, No.2 (1996), 271-278 (joint with Jianya Liu).
  15. A Bombieri Type Theorem of Exponential Sums with Prime Variable Chin. Sci. Bull., vol.41, No.3 (1996), 193-195 (joint with Jianya Liu).
  16. Estimation of Exponential Sums over Primes in Short Intervals II Analytic Number Theory, Proceedings of a Conference in Honor of Heini Halberstam, edited by B.C. Berndt, H.G. Diamond & A.J. Hildebrand, 571-606, Birkhauser 1996 (joint with Jianya Liu).
  17. The Ternary Goldbach Problem in Arithmetic Progressions Acta Arith., vol.82, No.3(1997), 197-227 (joint with Jianya Liu).
  18. Estimation of Exponential Sums over Primes in Short Intervals I Monatash. Math.(accepted, joint with Jianya Liu).
  19. The Goldbach Problem with Primes in Arithmetic Progressions London Math. Soc. Lecture Notes 247, Analytic Number Theory, edited by Yoichi Motohashi, Cambridge University Press, 1997 , 227-251 (joint with Ming-Chit Liu)
  20. On a Theorem of Hua Arch. Math., vol.69(1997),375-390 (joint with Jianya Liu).
  21. On Sum of Five Almost Equal Prime Squares Science in China (accepted, joint with Jianya Liu).
  22. Squares of primes and powers of 2, Monatsh Math., 128 (1999), 283-313 (with Jianya Liu and M.C. Liu).
  23. Hua's theorem on prime squares in short intervals Acta Math. Sin. (Engl. Ser.), 16 (2000), 669-690 (with Jianya Liu).
  24. Distribution of integers that are sums of three squares of primes Acta Arith., 98 (2001), 207-228 (with Jianya Liu).
  25. Squares of primes and powers of 2 II, J. Num-ber Theory, 92 (2002), 99-116 (with Jianya Liu and M.C. Liu).
  26. The exceptional set in Hua's theorem for three squares of primes Acta Math. Sin. (Engl. Ser.), 21 (2005), 335-350 (with Jianya Liu).
  27. Exponential sums over primes in short intervals Sci. China Ser. A, 49 (2006), 611-619 (with Jianya Liu, G. Lv).
  28. The quadratic Waring-Goldbach problem Journal of Shandong University, 42(2) (2007), 1-18 (with Jianya Liu).

获奖情况
曾获得国家优秀教育成果二等奖、中国青年科技奖、中国高校科学技术奖、教育部科技进步奖,山东省首届青年科技奖,国务院学位委员会授予“做出突出贡献的中国博士学位获得者”。

科研项目

先后承担了国家自然科学基金、教育部“优秀青年教师资助计划”、教育部“回国留学人员基金”、教育部“跨世纪优秀人才培养计划基金”等多项科研课题;入选国家“百千万人才工程”第一、二层次,教育部“跨世纪人才工程”入选专家。现承担国家重点基础研究发展计划“973”项目一项。

联合培养

与国内外博士生导师联合培养博士生(包括在读)13人,其中1名在读博士生与美国University of Oklahoma程岐教授联合培养。

2009年拟招收博士研究生数量及本人培养的博士生适合从事工作领域

2009年拟招收1名博士生。到目前为止,本人培养的博士生在国内或国外高校工作。

联系方式

地  址:济南市山大南路27号山东大学校长办公室
邮  编:250100
E-mail: zhantao@sdu.edu.cn