English

Rational approximations to the zeta function II

Number Theory 2019-06-19 v3

Abstract

This note describes continued fraction representations for the rational approximations to the zeta function recently found by the author. It is tempting to think that these continued fractions might be analysed using a souped up version of the Worpitzky argument so as to produce zero-free regions for the approximations.

Keywords

Cite

@article{arxiv.1810.01613,
  title  = {Rational approximations to the zeta function II},
  author = {Keith M Ball},
  journal= {arXiv preprint arXiv:1810.01613},
  year   = {2019}
}
R2 v1 2026-06-23T04:26:51.056Z