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Izvestiya: Mathematics, 2001, Volume 65, Issue 1, Pages 85–98
DOI: https://doi.org/10.1070/im2001v065n01ABEH000322 (Mi im322) 		 
This article is cited in 8 scientific papers (total in 8 papers)

An asymptotic formula for the Taylor coefficients of the function $\xi(s)$

L. D. Pustyl'nikov

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
English version PDF (349 kB) Citations (8)
References:
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DOI: https://doi.org/10.1070/im2001v065n01ABEH000322
Abstract: An asymptotic formula is derived for the Taylor coefficients of the function
$$ \xi(s)=\frac12s(s-1)\pi^{-s/2}\Gamma\biggl(\frac s2\biggr)\zeta(s) $$
at the point $s=1/2$.
Received: 23.12.1999
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2001, Volume 65, Issue 1, Pages 93–106
DOI: https://doi.org/10.4213/im322
Bibliographic databases:
MSC: 11M06, 11M26, 11M35, 11N05, 11M41
Language: English
Original paper language: Russian
Citation: L. D. Pustyl'nikov, “An asymptotic formula for the Taylor coefficients of the function $\xi(s)$”, Izv. RAN. Ser. Mat., 65:1 (2001), 93–106; Izv. Math., 65:1 (2001), 85–98
Citation in format AMSBIB
\Bibitem{Pus01}
\by L.~D.~Pustyl'nikov
\paper An asymptotic formula for the Taylor coefficients of the function~$\xi(s)$
\jour Izv. RAN. Ser. Mat.
\yr 2001
\vol 65
\issue 1
\pages 93--106
\mathnet{http://mi.mathnet.ru/im322}
\crossref{https://doi.org/10.4213/im322}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1829406}
\zmath{https://zbmath.org/?q=an:1019.11023}
\transl
\jour Izv. Math.
\yr 2001
\vol 65
\issue 1
\pages 85--98
\crossref{https://doi.org/10.1070/im2001v065n01ABEH000322}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33747110600}
Linking options:
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  • https://doi.org/10.1070/im2001v065n01ABEH000322
  • https://www.mathnet.ru/eng/im/v65/i1/p93
    • This publication is cited in the following 8 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:539
    Russian version PDF:260
    English version PDF:19
    References:66
    First page:1
     
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