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arXiv · 2606.15132

Rational approximation to the Hurwitz-Lerch zeta function

Marc Prevost
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Abstract

The main result of this paper is the construction of new sequences of rational approximations to the Lerch function. This construction is based on a generalization of the "remainder Pade approximants" method introduced by the author in 1996. More recently, this method has been applied, in the form of remainder Pade-type approximants, to the approximation of Stieltjes constants.

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Marc Prevost. 2026-06-13. Rational approximation to the Hurwitz-Lerch zeta function. https://arxiv.org/abs/2606.15132

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