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Power moments of the Riemann zeta-function over short intervals

✍ Scribed by Aleksandar Ivić

Publisher
Springer
Year
1994
Tongue
English
Weight
272 KB
Volume
62
Category
Article
ISSN
0003-889X

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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

On the Fourth Power Moment of the Rieman
On the Fourth Power Moment of the Riemann Zeta-Function
✍ A. Ivic; Y. Motohashi 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 770 KB

The function \(E_{2}(R)\) is used to denote the error term in the asymptotic formula for the fourth power moment of the Riemann zeta-function on the half-line. In this paper we prove several new results concerning this function, which include \(O\) - and \(\Omega\)-results. In the proofs use is made