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 Tr. Mat. Inst. Steklova, 2012, Volume 276, Pages 162–172 (Mi tm3352)

On Karatsuba's problem related to Gram's law

M. A. Korolev

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

Abstract: A number of new results related to Gram's law in the theory of the Riemann zeta-function are proved. In particular, a lower bound is obtained for the number of ordinates of the zeros of the zeta-function that lie in a given interval and satisfy Gram's law.

 Funding Agency Grant Number Russian Foundation for Basic Research 11-01-00759-a This work was supported by the Russian Foundation for Basic Research, project no. 11-01-00759-a.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2012, 276, 156–166

Bibliographic databases:

UDC: 511.331

Citation: M. A. Korolev, “On Karatsuba's problem related to Gram's law”, Number theory, algebra, and analysis, Collected papers. Dedicated to Professor Anatolii Alekseevich Karatsuba on the occasion of his 75th birthday, Tr. Mat. Inst. Steklova, 276, MAIK Nauka/Interperiodica, Moscow, 2012, 162–172; Proc. Steklov Inst. Math., 276 (2012), 156–166

Citation in format AMSBIB
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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. M. Korolev, “Gram's law and the argument of the Riemann zeta function”, Publ. Inst. Math. (Beograd) (N.S.), 92:106 (2012), 53–78
2. M. A. Korolev, “On large values of the Riemann zeta-function on short segments of the critical line”, Acta Arith., 166:4 (2014), 349–390
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