Remainder Pad\'e approximants for the Hurwitz zeta function
Numerical Analysis
2017-09-19 v1 Classical Analysis and ODEs
Abstract
Following our earlier research, we use the method introduced by the author in \cite{prevost1996} named Remainder Pad\'e Approximant in \cite{rivoalprevost}, to construct approximations of the Hurwitz zeta function. We prove that these approximations are convergent on the positive real line. Applications to new rational approximations of and are given.
Keywords
Cite
@article{arxiv.1709.05389,
title = {Remainder Pad\'e approximants for the Hurwitz zeta function},
author = {Marc Prévost},
journal= {arXiv preprint arXiv:1709.05389},
year = {2017}
}