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Izvestiya: Mathematics, 1996, Volume 60, Issue 5, Pages 901–931
DOI: https://doi.org/10.1070/IM1996v060n05ABEH000086 (Mi im86) 		 
This article is cited in 20 scientific papers (total in 21 papers)

On the function $S(t)$

A. A. Karatsuba
English version PDF (825 kB) Citations (21)
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DOI: https://doi.org/10.1070/IM1996v060n05ABEH000086
Abstract: We prove a theorem on the density of zeros of the Riemann function $\zeta(s)$ in narrow rectangles of neighbourhoods of the critical line and theorems on moments and the number of changers of sign of $S(t)$ on short intervals on the real line.
Received: 12.03.1996
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1996, Volume 60, Issue 5, Pages 27–56
DOI: https://doi.org/10.4213/im86
Bibliographic databases:
Document Type: Article
MSC: 11M26
Language: English
Original paper language: Russian
Citation: A. A. Karatsuba, “On the function $S(t)$”, Izv. RAN. Ser. Mat., 60:5 (1996), 27–56; Izv. Math., 60:5 (1996), 901–931
Citation in format AMSBIB
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\by A.~A.~Karatsuba
\paper On the function~$S(t)$
\jour Izv. RAN. Ser. Mat.
\yr 1996
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\issue 5
\pages 27--56
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\transl
\jour Izv. Math.
\yr 1996
\vol 60
\issue 5
\pages 901--931
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Linking options:
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  • https://doi.org/10.1070/IM1996v060n05ABEH000086
  • https://www.mathnet.ru/eng/im/v60/i5/p27
    • This publication is cited in the following 21 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:508
    Russian version PDF:243
    English version PDF:20
    References:47
    First page:1
     
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