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Distribution of large values of the argument of the Riemann zeta function on short intervals

โœ Scribed by R. N. Boyarinov

Book ID
111494996
Publisher
Allerton Press Inc
Year
2010
Tongue
English
Weight
1007 KB
Volume
65
Category
Article
ISSN
0027-1322

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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 values of the Riemann zeta-functi
On the values of the Riemann zeta-function at rational arguments
โœ Kanemitsu S., Tanigawa Y., Yoshimoto M. ๐Ÿ“‚ Library ๐Ÿ“… 2001 ๐ŸŒ English โš– 148 KB

In our previous papers [3], [4] we obtained a closed form evaluation of Ramanujan's type of the values of the (multiple) Hurwitz zeta-function at rational arguments (with denominator even and numerator odd), which was in turn a vast generalization of D. Klusch's and M. Katsurada's generalization of