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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Datum: | 2012 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | English |
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Інститут математики НАН України
2012
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Schriftenreihe: | Український математичний журнал |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Zitieren: | 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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