Approximations to -, di- and tri- logarithms

Abstract

We propose hypergeometric constructions of simultaneous approximations to polylogarithms. These approximations suit for computing the values of polylogarithms and satisfy 4-term Apery-like (polynomial) recursions.

11 pages, minor corrections

References in corpus (1)

• An elementary proof of Apery's theorem

Cited by in corpus (4)

• Apery limits and special values of L-functions
• Two hypergeometric tales and a new irrationality measure of $\zeta (2)$
• Multiple Legendre polynomials in Diophantine approximation
• On simultaneous diophantine approximations to $\zeta (2)$ and $\zeta (3)$