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Second moments of DirichletL-functions weighted by Kloosterman sums

✍ Scribed by Wang, Tingting

Book ID
118797805
Publisher
Springer
Year
2012
Tongue
English
Weight
110 KB
Volume
62
Category
Article
ISSN
0011-4642

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πŸ“œ SIMILAR VOLUMES

Moments of Generalized Quadratic Gauss S
Moments of Generalized Quadratic Gauss Sums Weighted by L-Functions
✍ Zhang Wenpeng πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 98 KB

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.

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 πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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.