• Title/Summary/Keyword: hyper Cochrane sums

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ON THE r-TH HYPER-KLOOSTERMAN SUMS AND ITS HYBRID MEAN VALUE

  • Zhang, Tianping;Zhang, Wenpeng
    • Journal of the Korean Mathematical Society
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    • v.43 no.6
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    • pp.1199-1217
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    • 2006
  • The main purpose of this paper is using the properties of Gauss sums, primitive characters and the mean value theorems of Dirichlet L-functions to study the hybrid mean value of the T-th hyper-Kloosterman sums Kl(h, k+1, r;q) and the hyper Cochrane sums C(h, q; m, k), and give an interesting mean value formula.