On equalities involving integrals of the logarithm of the Riemann ζ-function and equivalent to the Riemann hypothesis

By using the generalized Littlewood theorem about a contour integral involving the logarithm of an analytic function, we show how an infinite number of integral equalities involving integrals of the logarithm of the Riemann ζ-function and equivalent to the Riemann hypothesis can be established and p...

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Published in:Український математичний журнал
Date:2012
Main Authors: Sekatskii, S.K., Beltraminelli, S., Merlini, D.
Format: Article
Language:English
Published: Інститут математики НАН України 2012
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/164138
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On equalities involving integrals of the logarithm of the Riemann ζ-function and equivalent to the Riemann hypothesis / S.K. Sekatskii, S. Beltraminelli, D. Merlini // Український математичний журнал. — 2012. — Т. 64, № 2. — С. 218-228. — Бібліогр.: 10 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine