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Mean-Value Theorems in the Theory of the Riemann Zeta-Function

✍ Scribed by Ingham, A. E.

Book ID
120102956
Publisher
Oxford University Press
Year
1928
Tongue
English
Weight
667 KB
Volume
s2-27
Category
Article
ISSN
0024-6115

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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