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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)
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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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2003, Volume 67, Issue 2, Pages 21–60
DOI: https://doi.org/10.4213/im426
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. RAN. Ser. Mat., 67:2 (2003), 21–60; Izv. Math., 67:2 (2003), 225–264
Citation in format AMSBIB
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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:758
    Russian version PDF:270
    English version PDF:19
    References:52
    First page:1
     
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