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Fast approximations of certain number-theoretic constants

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Publication:498188
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DOI10.1134/S1064562415030072zbMath1361.11084OpenAlexW2201101480WikidataQ100935356 ScholiaQ100935356MaRDI QIDQ498188

Ekatharine A. Karatsuba

Publication date: 28 September 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562415030072


zbMATH Keywords

fast approximations of zeta constants by rational fractionsRiemann zeta-function of even and odd argument


Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Algorithms for approximation of functions (65D15) Evaluation of number-theoretic constants (11Y60) Analytic computations (11Y35)




Cites Work

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  • Fast evaluation of transcendental functions
  • Fast evaluation of the Hurwitz zeta function and Dirichlet \(L\)-series
  • Fast evaluation of \(\zeta(3)\)
  • Fast computation of the Riemann zeta-function \(\zeta (s)\) for integer values of the argument \(s\)
  • On one method for fast approximation of zeta constants by rational fractions
  • Fast Catalan constant computation via the approximations obtained by the Kummer's type transformations
  • On a new method for fast evaluation of transcendental functions
  • Fast Computation of Some Special Integrals of Mathematical Physics
  • Fast evaluation of bessel functions
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