Fast computation of \(\zeta(3)\) and of some special integrals using the Ramanujan formula and polylogarithms

DOI10.1023/A:1021948002934zbMath0998.11075OpenAlexW301098036MaRDI QIDQ5960911

Ekatharine A. Karatsuba

Publication date: 1 July 2002

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021948002934

zbMATH Keywords

polylogarithmZeta functionFEE methodRamanujan formula

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Complexity and performance of numerical algorithms (65Y20) Analytic computations (11Y35)

Related Items (4)

On computation of the Bessel function by summing up the series ⋮ On a method for constructing a family of approximations of zeta constants by rational fractions ⋮ On the computational complexity of compressed power series ⋮ On one method for fast approximation of zeta constants by rational fractions

This page was built for publication: Fast computation of \(\zeta(3)\) and of some special integrals using the Ramanujan formula and polylogarithms