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General Kloosterman Sums and the Difference Between an Integer and Its Inverse Modulo Q

General Kloosterman Sums and the Difference Between an Integer and Its Inverse Modulo Q
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摘要 The main purpose of this paper is to use the generalized Bernoulli numbers, Gauss sums and the mean value theorems of Dirichlet L-functions to study the asymptotic property of one class of number-theoretic functions, and to give four interesting hybrid mean value formulae. The main purpose of this paper is to use the generalized Bernoulli numbers, Gauss sums and the mean value theorems of Dirichlet L-functions to study the asymptotic property of one class of number-theoretic functions, and to give four interesting hybrid mean value formulae.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第1期77-82,共6页 数学学报(英文版)
基金 the NSF(10271093) PNSF of P.R.China
关键词 An integer and its inverse Bernoulli numbers Gauss sums An integer and its inverse, Bernoulli numbers, Gauss sums
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参考文献6

  • 1Zhang, W. P.: On the difference between an integer and its inverse modulo n, Journal of Number Theory,52, 1-6 (1995)
  • 2Zhang, W. P.: On the difference between an integer and its inverse modulo n (Ⅱ). Science in China(Series A), 46, 229-238 (2003)
  • 3Zhang, W. P,, Liu, H. N.: A note on the Cochrane sum and its hybrid mean value formula. Journal of Mathematical Analysis and Applications, 288, 646-659 (2003)
  • 4Hua, L, K.: Introduction to Number Theory, Science Press Beijing, 175-176, 1979
  • 5Masao, T,: On certain character sums. Acta Arithmetica, LV, 229-232 (1990)
  • 6Zhang, W, P,: On a Cochrane sum and its hybrid mean value formula, Journal of Mathematical Analysisand Applications, 267, 89-96 (2002)

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