Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2013; 50(2): 451-458

Printed March 31, 2013

https://doi.org/10.4134/BKMS.2013.50.2.451

Copyright © The Korean Mathematical Society.

Hybrid mean value of the generalized Kloosterman sums and Dirichlet character of polynomials

Wang Jingzhe

Northwest University

Abstract

The main purpose of this paper is using the analytic methods and the properties of Gauss sums to study the computational problem of one kind mean value of the generalized Kloosterman sums and Dirichlet character of polynomials, and give an interesting asymptotic formula for it.

Keywords: hybrid mean value, generalized Kloosterman sums, Dirichlet character of polynomials, asymptotic formula

MSC numbers: 11M20