Generalized Bombieri–Lagarias’ theorem and generalized Li’s criterion with its arithmetic interpretation
We show that Li’s criterion equivalent to the Riemann hypothesis, i.e., the statement that the sums kn=Σρ(1−(1−1ρ)n) over zeros of the Riemann xi-function and the derivatives are nonnegative if and only if the Riemann hypothesis is true, can be generalized and the nonnegativity of certain derivative...
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| Date: | 2014 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2014
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/165313 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Generalized Bombieri–Lagarias’ theorem and generalized Li’s criterion with its arithmetic interpretation / S.K. Sekatski // Український математичний журнал. — 2014. — Т. 66, № 3. — С. 371–383. — Бібліогр.: 13 назв. — англ. |