English

On Pad\'e approximations and global relations of some Euler-type series

Number Theory 2017-05-12 v1

Abstract

We shall consider some special generalizations of Euler's factorial series. First we construct Pad\'e approximations of the second kind for these series. Then these approximations are applied to study global relations of certain p-adic values of the series.

Keywords

Cite

@article{arxiv.1705.04183,
  title  = {On Pad\'e approximations and global relations of some Euler-type series},
  author = {Keijo Väänänen},
  journal= {arXiv preprint arXiv:1705.04183},
  year   = {2017}
}
R2 v1 2026-06-22T19:44:08.537Z