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Moments of Generalized Quadratic Gauss Sums Weighted by L-Functions

✍ Scribed by Zhang Wenpeng

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 98 KB
Volume: 92
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.2001.2715

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✦ Synopsis

The main purpose of this paper is using estimates for character sums and analytic methods to study the second, fourth, and sixth order moments of generalized quadratic Gauss sums weighted by L-functions. Three asymptotic formulae are obtained.

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On the 2k-th Power Mean of Dirichlet L-F

On the 2k-th Power Mean of Dirichlet L-Functions with the Weight of General Kloosterman Sums

✍ Zhang Wenpeng; Yi Yuan; He Xiali 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 132 KB

The main purpose of this paper is using the classical estimation of the Kloosterman sum and the analytic method to study the 2k-th power mean of Dirichlet L-functions with the weight of general Kloosterman sums and give an interesting 2k-th mean value theorem.