Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON THE 2k-TH POWER MEAN VALUE OF THE GENERALIZED QUADRATIC GAUSS SUMS

  • He, Yanfeng (DEPARTMENT OF MATHEMATICS NORTHWEST UNIVERSITY, COLLEGE OF MATHEMATICS AND COMPUTER SCIENCE YAN'AN UNIVERSITY) ;
  • Zhang, Wenpeng (DEPARTMENT OF MATHEMATICS NORTHWEST UNIVERSITY)
  • Received : 2009.04.06
  • Published : 2011.01.31
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Abstract

The main purpose of this paper is using the elementary and analytic methods to study the properties of the 2k-th power mean value of the generalized quadratic Gauss sums, and give two exact mean value formulae for k = 3 and 4.

Keywords

References

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