A hybird mean value involving gauss sums and character sums

Tian Qing () and Zhang Wenpeng ()
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Tian Qing: Northwest University
Zhang Wenpeng: Northwest University

Indian Journal of Pure and Applied Mathematics, 2010, vol. 41, issue 4, 583-594

Abstract: Abstract Let χ be a Dirichlet character modulo q > 2, and L(s, χ) denotes the Dirichlet L-function corresponding to χ. The main purpose of this paper is using the estimate for character sums and the analytic method to study the mean value properties of $$ \frac{{L'}} {L}(1,\chi ) $$ with the weight of Gauss sums and character sums, and give an interesting mean value formula for it.

Keywords: L-functions; hybrid mean value; Gauss sums; character in short interval; asymptotic formula (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s13226-010-0033-x

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