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Gauss和与广义Kloosterman和的几个新的恒等式 被引量:1

Some New Identities Involving Gauss Sums and General Kloosterman Sums
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摘要 主要应用Gauss和的性质和解析方法来研究Gauss和与广义Kloosterman和之间的关系,并且给出了几个有趣的恒等式. The main purpose of this paper is using the properties of Gauss sums and the analytic method to study the the hybrid mean value problem involving between the Gauss sums and the general Kloosterman sums, and to give several interesting identities of it.
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2013年第3期413-418,共6页 Acta Mathematica Sinica:Chinese Series
基金 陕西省自然科学基金资助项目(2012K06-43) 陕西省教育厅基金资助项目(12JK0874)
关键词 GAUSS和 广义Kloosterman和 恒等式 解析方法 Gauss sums the general Kloosterman sums identity analytic method
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参考文献8

  • 1Apostol Tom M., Introduction to Analytic Number Theory, Springer-Verlag, New York, 1976.
  • 2Davenport H., Multiplicative Number Theory, Markham, 1967.
  • 3Montgomery H. L., Topics in Multiplicative Number Theory, Lecture Notes in Math. 227, Springer-Verlag, Heidelberg, 1971.
  • 4Hua L. K., Introduction to Number Theory, Science Press, Beijing, 1979.
  • 5Pan C. D., Pan C. B., Goldbach Conjecture, Science Press, Beijing, 1992.
  • 6Zhang W. P., On the fourth power mean of the general Kloosterman sums, Indian J. Pure and Applied Mathematics, 2004, 35: 237-242.
  • 7Chowla S., On Kloosterman's sum, Norkse Vid. Selbsk. Fak. Frondheim., 1967, 40: 70-72.
  • 8Malyshev A. V., A generalization of Kloosterman sums and their estimates (in Russian), Vestnik Leningrad University, 1960, 15: 59-75.

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