대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제60권3호
  • /
  • Pages.611-622
  • /
  • 2023
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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ON THE HYBRID MEAN VALUE OF GENERALIZED DEDEKIND SUMS, GENERALIZED HARDY SUMS AND KLOOSTERMAN SUMS

  • Qing Tian (College of Science Xi'an University of Architecture and Technology) ;
  • Yan Wang (College of Science Xi'an University of Architecture and Technology)
  • 투고 : 2021.10.29
  • 심사 : 2023.02.24
  • 발행 : 2023.05.31
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초록

The main purpose of this paper is to study the hybrid mean value problem involving generalized Dedekind sums, generalized Hardy sums and Kloosterman sums. Some exact computational formulas are given by using the properties of Gauss sums and the mean value theorem of the Dirichlet L-function. A result of W. Peng and T. P. Zhang [12] is extended. The new results avoid the restriction that q is a prime.

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과제정보

The authors express their gratitude to the referee for his (her) very helpful and detailed comments.

참고문헌

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