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The First Power Mean of the Inversion of L-Functions and General Kloostermann Sums

✍ Scribed by Zhang Wenpeng

Publisher
Springer Vienna
Year
2002
Tongue
English
Weight
81 KB
Volume
136
Category
Article
ISSN
0026-9255

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πŸ“œ SIMILAR VOLUMES

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.

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We represent the Generalized Incomplete Gamma Function as a sum of Modified Bessel Functions valid for non-integer Ξ±. For integer values of Ξ± we derive the corresponding limit case. Moreover, we discuss numerical techniques to evaluate this function.