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Values of the divisor function on short intervals

✍ Scribed by P Erdös; R.R Hall

Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
384 KB
Volume
12
Category
Article
ISSN
0022-314X

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📜 SIMILAR VOLUMES

Mean-Value Theorem of the Riemann Zeta-F
Mean-Value Theorem of the Riemann Zeta-Function Over Short Intervals
✍ A. Sankaranarayanan; K. Srinivas 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 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