Displaying similar documents to “The Divisibility Modulo 4 of Kloosterman Sums over Finite Fields of Characteristic 3”

On the fourth-order linear recurrence formula related to classical Gauss sums

Chen Zhuoyu, Zhang Wenpeng (2017)

Open Mathematics

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Let p be an odd prime with p ≡ 1 mod 4, k be any positive integer, ψ be any fourth-order character mod p. In this paper, we use the analytic method and the properties of character sums mod p to study the computational problem of G(k, p) = τk(ψ)+τk(ψ), and give an interesting fourth-order linear recurrence formula for it, where τ(ψ) denotes the classical Gauss sums.

An identity involving Dedekind sums and generalized Kloosterman sums

Le Huan, Jingzhe Wang, Tingting Wang (2012)

Czechoslovak Mathematical Journal

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The various properties of classical Dedekind sums S ( h , q ) have been investigated by many authors. For example, Yanni Liu and Wenpeng Zhang: A hybrid mean value related to the Dedekind sums and Kloosterman sums, Acta Mathematica Sinica, 27 (2011), 435–440 studied the hybrid mean value properties involving Dedekind sums and generalized Kloosterman sums K ( m , n , r ; q ) . The main purpose of this paper, is using the analytic methods and the properties of character sums, to study the computational problem of...

Power-moments of SL 3 ( ℤ ) 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 ( ℤ ) . 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.

A note on the mean value of the general Kloosterman sums

Weili Yao (2011)

Czechoslovak Mathematical Journal

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The main purpose of this paper is to use the analytic method to study the calculating problem of the general Kloosterman sums, and give an exact calculating formula for it.