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Sbornik: Mathematics, 2014, Volume 205, Issue 1, Pages 63–82
DOI: https://doi.org/10.1070/SM2014v205n01ABEH004367 (Mi sm8253) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On small values of the Riemann zeta-function at Gram points

M. A. Korolev

Steklov Mathematical Institute of the Russian Academy of Sciences
English version PDF (555 kB) Citations (4) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2014v205n01ABEH004367
Abstract: In this paper, we prove the existence of a large set of Gram points $t_{n}$ such that the values $\zeta(0.5+it_{n})$ are ‘anomalously’ close to zero. A lower bound for the negative ‘discrete’ moment of the Riemann zeta-function on the critical line is also given.
Bibliography: 13 titles.
Keywords: Riemann zeta-function, Hardy's function, Gram points.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-31165-мол-а
Received: 10.06.2013 and 07.10.2013
Bibliographic databases:
Document Type: Article
UDC: 511.331
MSC: 11M06
Language: English
Original paper language: Russian
Citation: M. A. Korolev, “On small values of the Riemann zeta-function at Gram points”, Sb. Math., 205:1 (2014), 63–82
Citation in format AMSBIB
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\by M.~A.~Korolev
\paper On small values of the Riemann zeta-function at Gram points
\jour Sb. Math.
\yr 2014
\vol 205
\issue 1
\pages 63--82
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  • https://doi.org/10.1070/SM2014v205n01ABEH004367
  • https://www.mathnet.ru/eng/sm/v205/i1/p67
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:958
    Russian version PDF:276
    English version PDF:131
    References:95
    First page:53
     
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