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On the $r$-th hyper-Kloosterman sums and its hybrid mean value

Wenpeng Zhang|Tianping Zhang
대한수학회 (The Korean Mathematical Society)|2006.11|대한수학회지 (Journal of the KMS)|제43권 제6호|pp. 1199-1217

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Abstract

The main purpose of this paper is using the propertiesof Gauss sums, primitive characters and the mean value theoremsof Dirichlet L-functions to study the hybrid mean value of the r-thhyper-Kloosterman sums Kl (h;k+1 ;r;q) and the hyper Cochranesums C(h;q;m;k);and give an interesting mean value formula.

참고문헌 (10)

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  4. "On the 2k-th mean value formula of general Dedekind sums (Chinese)", 44(1), pp.85~94 (2001)
  5. "Hyper Cochrane sums and their hybrid mean value formula (in Chinese)", A26(4), pp.469~476 (2005)
  6. "On the general Dedekind sums and one kind identities of Dirichlet L-functions", 44(2), pp.269~272 (2001)
  7. "On a Cochrane sum and its hybrid mean value formula", 267(1), pp.89~96 (2002)
  8. "On a Cochrane sum and its hybrid mean value formula II", 276(1), pp.446~457 (2002)
  9. "A sum analogous to Dedekind sums and its hybrid mean value formula", 107(1), pp.1~8 (2003)
  10. "A note on the Cochrane sum and its hybrid mean value formula", 288(2), pp.646~659 (2003)

관련 논문AI추천

Hybrid mean value of generalized Bernoulli numbers, general Kloosterman sums and Gauss sumsHuaning Liu, Wenpeng Zhang대한수학회 · 대한수학회지2007 · 제44권 제1호On the r-th hyper-Kloosterman sums and a problem of D. H. LehmerXue Xifeng, Zhang Tianping대한수학회 · 대한수학회지2009 · 제46권 제4호Hybrid mean value of the generalized Kloosterman sums and Dirichlet character of polynomialsWang Jingzhe대한수학회 · 대한수학회보2013 · 제50권 제2호ON THE HYBRID MEAN VALUE OF GENERALIZED DEDEKIND SUMS, GENERALIZED HARDY SUMS AND KLOOSTERMAN SUMSQing Tian, Yan Wang대한수학회 · 대한수학회보2023 · 제60권 제3호ON MIXED TWO-TERM EXPONENTIAL SUMSZhang Tianping대한수학회 · 대한수학회지2010 · 제47권 제6호On the mean values of the homogeneous Dedekind sums and Cochrane sums in short intervalsHuaning Liu대한수학회 · 대한수학회지2007 · 제44권 제6호

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