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Izvestiya: Mathematics, 2005, Volume 69, Issue 4, Pages 719–731
DOI: https://doi.org/10.1070/IM2005v069n04ABEH001658 (Mi im648) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Sign changes of the function $S(t)$ on short intervals

M. A. Korolev
English version PDF (178 kB) Citations (6)
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DOI: https://doi.org/10.1070/IM2005v069n04ABEH001658
Abstract: In this paper, we study sign changes of the function $S(t)$ on short intervals of the real line. It is proved that, for almost all values of $T$, there is a point at which $S(t)$ changes sign and whose distance from $T$ does not exceed $4.39\ln\ln\ln\ln T$.
Received: 28.04.2005
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2005, Volume 69, Issue 4, Pages 75–88
DOI: https://doi.org/10.4213/im648
Bibliographic databases:
Document Type: Article
UDC: 511
MSC: 11L03, 11N37, 11M06, 11M26
Language: English
Original paper language: Russian
Citation: M. A. Korolev, “Sign changes of the function $S(t)$ on short intervals”, Izv. RAN. Ser. Mat., 69:4 (2005), 75–88; Izv. Math., 69:4 (2005), 719–731
Citation in format AMSBIB
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\by M.~A.~Korolev
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\yr 2005
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\pages 75--88
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\transl
\jour Izv. Math.
\yr 2005
\vol 69
\issue 4
\pages 719--731
\crossref{https://doi.org/10.1070/IM2005v069n04ABEH001658}
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  • https://doi.org/10.1070/IM2005v069n04ABEH001658
  • https://www.mathnet.ru/eng/im/v69/i4/p75
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:569
    Russian version PDF:203
    English version PDF:21
    References:65
    First page:1
     
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