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On the Fourth Power Mean of the Character Sums Over Short Intervals

โœ Scribed by Wen Peng Zhang; Xiao Ying Wang

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2006
Tongue
English
Weight
186 KB
Volume
23
Category
Article
ISSN
1439-7617

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๐Ÿ“œ SIMILAR VOLUMES

Mean-Value Theorem of the Riemann Zeta-F
Mean-Value Theorem of the Riemann Zeta-Function Over Short Intervals
โœ A. Sankaranarayanan; K. Srinivas ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 139 KB

Let \(s=\sigma+i t\). Then, on the assumption of Riemann Hypothesis, we prove the Mean-Value Theorem for the square of the Riemann zeta-function over shorter intervals for \(1 / 2+A_{1} / \log \log T \leqslant \sigma \leqslant 1-\delta\). Here \(A_{1}\) is a large positive constant, \(\delta\) is a

On the mean value of the two-term expone
On the mean value of the two-term exponential sums with Dirichlet characters
โœ Zhefeng Xu; Tianping Zhang; Wenpeng Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 129 KB

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.