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Izvestiya: Mathematics, 2003, Volume 67, Issue 2, Pages 225–264
DOI: https://doi.org/10.1070/IM2003v067n02ABEH000426 (Mi im426) 		 
This article is cited in 10 scientific papers (total in 10 papers)

The argument of the Riemann zeta-function on the critical line

M. A. Korolev
English version PDF (329 kB) Citations (10) Russian version article
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DOI: https://doi.org/10.1070/IM2003v067n02ABEH000426
Abstract: We prove a new density theorem for the zeros of the Riemann zeta-function in the critical strip, and apply it to the problem of the number of sign changes of the argument of the zeta-function on almost all short intervals of the critical line.
Received: 24.09.2002
Bibliographic databases:
Document Type: Article
UDC: 511
MSC: 11M06
Language: English
Original paper language: Russian
Citation: M. A. Korolev, “The argument of the Riemann zeta-function on the critical line”, Izv. Math., 67:2 (2003), 225–264
Citation in format AMSBIB
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\by M.~A.~Korolev
\paper The argument of the Riemann zeta-function on the critical line
\jour Izv. Math.
\yr 2003
\vol 67
\issue 2
\pages 225--264
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\crossref{https://doi.org/10.1070/IM2003v067n02ABEH000426}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-27844588244}
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  • https://doi.org/10.1070/IM2003v067n02ABEH000426
  • https://www.mathnet.ru/eng/im/v67/i2/p21
    • This publication is cited in the following 10 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
    Statistics & downloads:
    Abstract page:1062
    Russian version PDF:335
    English version PDF:202
    References:95
    First page:1
     
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