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Izvestiya: Mathematics, 2005, Volume 69, Issue 3, Pages 539–605
DOI: https://doi.org/10.1070/IM2005v069n03ABEH000538 (Mi im642) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Zeros of the derivatives of the Riemann $\xi$-function

I. S. Rezvyakova
English version PDF (501 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM2005v069n03ABEH000538
Abstract: We show that the proportion of the zeros of the $k$th derivative of the Riemann $\xi$-function (where $k\geqslant1$ is an integer) that are on the critical line is greater than $1-\frac{3}{5}\,k^{-2}$.
Received: 03.02.2005
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2005, Volume 69, Issue 3, Pages 109–178
DOI: https://doi.org/10.4213/im642
Bibliographic databases:
Document Type: Article
UDC: 511
MSC: 11M26
Language: English
Original paper language: Russian
Citation: I. S. Rezvyakova, “Zeros of the derivatives of the Riemann $\xi$-function”, Izv. RAN. Ser. Mat., 69:3 (2005), 109–178; Izv. Math., 69:3 (2005), 539–605
Citation in format AMSBIB
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\by I.~S.~Rezvyakova
\paper Zeros of the derivatives of the Riemann $\xi$-function
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\pages 109--178
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\transl
\jour Izv. Math.
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  • https://doi.org/10.1070/IM2005v069n03ABEH000538
  • https://www.mathnet.ru/eng/im/v69/i3/p109
    • This publication is cited in the following 2 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:633
    Russian version PDF:367
    English version PDF:32
    References:47
    First page:2
     
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