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On the mean value of the two-term exponential sums with Dirichlet characters

โœ Scribed by Zhefeng Xu; Tianping Zhang; Wenpeng Zhang


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
129 KB
Volume
123
Category
Article
ISSN
0022-314X

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โœฆ Synopsis


The main purpose of this paper is using the analytic method to study the mean value properties of the two-term exponential sums with Dirichlet characters, and give an explicit formula for its fourth power mean.


๐Ÿ“œ SIMILAR VOLUMES


On the mean value of Dirichlet series
โœ Uckath-Variyath Balakrishnan ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Springer-Verlag ๐ŸŒ French โš– 157 KB
On the Mean Value of Dedekind Sums
โœ Chaohua Jia ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 140 KB
On the 2k-th Power Mean of Dirichlet L-F
โœ Zhang Wenpeng; Yi Yuan; He Xiali ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.