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Problemy Peredachi Informatsii, 1995, Volume 31, Issue 4, Pages 69–80 (Mi ppi294)  
This article is cited in 12 scientific papers (total in 12 papers)

Automata Theory

Fast Calculation of the Riemann Zeta Function $\zeta(s)$ for Integer Values of the Argument $s$

E. A. Karatsuba
Full-text PDF (767 kB) Citations (12)
Abstract: We suggest an algorithm for fast calculation of the Riemann zeta function for integer values of the argument, which is based on the method for fast calculation of Siegel's $E$-functions. The computational complexity is near to optimal.
Received: 14.03.1995
Bibliographic databases:
Document Type: Article
UDC: 621.391.1
Language: Russian
Citation: E. A. Karatsuba, “Fast Calculation of the Riemann Zeta Function $\zeta(s)$ for Integer Values of the Argument $s$”, Probl. Peredachi Inf., 31:4 (1995), 69–80; Problems Inform. Transmission, 31:4 (1995), 353–362
Citation in format AMSBIB
\Bibitem{Kar95}
\by E.~A.~Karatsuba
\paper Fast Calculation of the Riemann Zeta Function~$\zeta(s)$ for Integer Values of the Argument~$s$
\jour Probl. Peredachi Inf.
\yr 1995
\vol 31
\issue 4
\pages 69--80
\mathnet{http://mi.mathnet.ru/ppi294}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1367927}
\zmath{https://zbmath.org/?q=an:0895.11032|0859.11050}
\transl
\jour Problems Inform. Transmission
\yr 1995
\vol 31
\issue 4
\pages 353--362
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  • https://www.mathnet.ru/eng/ppi294
  • https://www.mathnet.ru/eng/ppi/v31/i4/p69
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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