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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| Subjects: | |
| 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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