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The mean value theorem of the divisor problem for short intervals

✍ Scribed by Isao Kiuchi; Yoshio Tanigawa


Publisher
Springer
Year
1998
Tongue
English
Weight
175 KB
Volume
71
Category
Article
ISSN
0003-889X

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Mean-Value Theorem of the Riemann Zeta-F
✍ A. Sankaranarayanan; K. Srinivas πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 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