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

Using the generalized Littlewood theorem about a contour integral involving the logarithm of an analytical 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...

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Bibliographic Details
Date:	2012
Main Authors:	Beltraminelli, S., Merlini, D., Sekatskii, S. K., Белтрамінеллі, С., Мерліні, Д., Секацький, С.К.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2012
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2568
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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