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http://dx.doi.org/10.4134/JKMS.2006.43.6.1199

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

Zhang, Tianping (Department of Mathematics Northwest University)
Zhang, Wenpeng (Department of Mathematics Northwest University)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.6, 2006 , pp. 1199-1217 More about this Journal
Abstract
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.
Keywords
hyper-Kloosterman sums; hyper Cochrane sums; hybrid mean value;
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