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Izvestiya: Mathematics, 2013, Volume 77, Issue 5, Pages 917–940
DOI: https://doi.org/10.1070/IM2013v077n05ABEH002664 (Mi im7990) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On new results related to Gram's law

M. A. Korolevab

a Steklov Mathematical Institute, Russian Academy of Sciences
b National Engineering Physics Institute "MEPhI", Moscow
English version PDF (347 kB) Citations (4)
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DOI: https://doi.org/10.1070/IM2013v077n05ABEH002664
Abstract: We prove a number of new results related to Gram's law in the theory of the Riemann zeta-function that reflect irregularity in the distribution of the ordinates of the complex zeros of that function. Results are obtained on the distribution of pairs, triples, quadruples, … of adjacent ordinates of such zeros that simultaneously do not obey Gram's law.
Keywords: Riemann zeta-function, Gram's law, Gram's rule.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00759-a
Received: 12.04.2012
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2013, Volume 77, Issue 5, Pages 71–94
DOI: https://doi.org/10.4213/im7990
Bibliographic databases:
Document Type: Article
UDC: 511.331
MSC: 11M26, 11M06
Language: English
Original paper language: Russian
Citation: M. A. Korolev, “On new results related to Gram's law”, Izv. RAN. Ser. Mat., 77:5 (2013), 71–94; Izv. Math., 77:5 (2013), 917–940
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v77/i5/p71
    • 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
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:586
    Russian version PDF:181
    English version PDF:5
    References:46
    First page:22
     
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