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Simple zeros and discrete moments of the derivative of the Riemann zeta-function

✍ Scribed by Ramūnas Garunks˘tis; Jörn Steuding


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
165 KB
Volume
115
Category
Article
ISSN
0022-314X

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✦ Synopsis


We prove unconditional upper bounds for the second and fourth discrete moment of the first derivative of the zeta-function at its simple zeros on the critical line.


📜 SIMILAR VOLUMES


Arithmetic progressions of zeros of the
✍ Machiel van Frankenhuijsen 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 168 KB

If the Riemann zeta function vanishes at each point of the finite arithmetic progression {D + inp} 0<|n| 0), then N < 13p if D = 1/2, and N < p 1/D-1+o(1) in general.