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Zh. Vychisl. Mat. Mat. Fiz., 2003, Volume 43, Number 9, Pages 1330–1352 (Mi zvmmf961)  

This article is cited in 9 scientific papers (total in 9 papers)

Padé approximation and numerical analysis for the Riemann $\zeta$-function

S. L. Skorokhodov

Dorodnitsyn Computing Centre of the Russian Academy of Sciences

Full text: PDF file (3531 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2003, 43:9, 1277–1298

Bibliographic databases:
UDC: 519.6:589
MSC: Primary 11Y35; Secondary 11M06, 65D20, 41A21
Received: 09.01.2003

Citation: S. L. Skorokhodov, “Padé approximation and numerical analysis for the Riemann $\zeta$-function”, Zh. Vychisl. Mat. Mat. Fiz., 43:9 (2003), 1330–1352; Comput. Math. Math. Phys., 43:9 (2003), 1277–1298

Citation in format AMSBIB
\Bibitem{Sko03}
\by S.~L.~Skorokhodov
\paper Pad\'e approximation and numerical analysis for the Riemann $\zeta$-function
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2003
\vol 43
\issue 9
\pages 1330--1352
\mathnet{http://mi.mathnet.ru/zvmmf961}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2014985}
\zmath{https://zbmath.org/?q=an:1079.41012}
\transl
\jour Comput. Math. Math. Phys.
\yr 2003
\vol 43
\issue 9
\pages 1277--1298


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. S. L. Skorokhodov, “Methods of analytical continuation of the generalized hypergeometric functions $ _pF_{p-1}(a_1,…,a_p;b_1,…,b_{p-1};z)$”, Comput. Math. Math. Phys., 44:7 (2004), 1102–1123  mathnet  mathscinet  zmath
    2. S. L. Skorokhodov, “A method for computing the generalized hypergeometric function $ _pF_{p-1}(a_1,…,a_p;b_1,…,b_{p-1};1)$ in terms of the riemann zeta function”, Comput. Math. Math. Phys., 45:4 (2005), 550–562  mathnet  mathscinet  zmath  elib  elib
    3. A. I. Bogolyubskii, S. L. Skorokhodov, D. V. Khristoforov, “Fast computation of elliptic integrals and their generalizations”, Comput. Math. Math. Phys., 45:11 (2005), 1864–1878  mathnet  mathscinet  zmath  elib  elib
    4. Bogolubsky A., Skorokhodov S.L., “Fast evaluation of the hypergeometric function F-p(p-1,)(a; b; z) at the singular point z=1 by means of the Hurwitz zeta function zeta(alpha, s)”, Programming and Computer Software, 32:3 (2006), 145–153  crossref  mathscinet  zmath  isi  scopus
    5. Baratchart L., Yattselev M., “Convergent Interpolation to Cauchy Integrals over Analytic Arcs”, Found Comput Math, 9:6 (2009), 675–715  crossref  mathscinet  zmath  isi  elib  scopus
    6. Akatsuka H., “Conditional Estimates for Error Terms Related to the Distribution of Zeros of Zeta `(S)”, J. Number Theory, 132:10 (2012), 2242–2257  crossref  mathscinet  zmath  isi  elib  scopus
    7. Baratchart L., Yattselev M.L., “Pade Approximants to Certain Elliptic-Type Functions”, J. Anal. Math., 121 (2013), 31–86  crossref  mathscinet  zmath  isi  elib  scopus
    8. Binder T., Pauli S., Saidak F., “Zeros of High Derivatives of the Riemann Zeta Function”, Rocky Mt. J. Math., 45:3 (2015), 903–926  crossref  mathscinet  isi  scopus
    9. Yattselev M.L., “Symmetric Contours and Convergent Interpolation”, J. Approx. Theory, 225 (2018), 76–105  crossref  mathscinet  zmath  isi  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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