Displaying similar documents to “On the determination of Gauss sums”

Power-moments of SL 3 ( ) Kloosterman sums

Goran Djanković (2013)

Czechoslovak Mathematical Journal

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Classical Kloosterman sums have a prominent role in the study of automorphic forms on GL 2 and further they have numerous applications in analytic number theory. In recent years, various problems in analytic theory of automorphic forms on GL 3 have been considered, in which analogous GL 3 -Kloosterman sums (related to the corresponding Bruhat decomposition) appear. In this note we investigate the first four power-moments of the Kloosterman sums associated with the group SL 3 ( ) . We give formulas...

A hybrid mean value related to certain Hardy sums and Kloosterman sums

Xiaoyan Guo, Wenpeng Zhang (2011)

Czechoslovak Mathematical Journal

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The main purpose of this paper is using the mean value formula of Dirichlet L-functions and the analytic methods to study a hybrid mean value problem related to certain Hardy sums and Kloosterman sums, and give some interesting mean value formulae and identities for it.