English

Hankel Determinants of Zeta Values

Number Theory 2015-12-18 v3 Classical Analysis and ODEs

Abstract

We study the asymptotics of Hankel determinants constructed using the values ζ(an+b)\zeta(an+b) of the Riemann zeta function at positive integers in an arithmetic progression. Our principal result is a Diophantine application of the asymptotics.

Keywords

Cite

@article{arxiv.1510.01901,
  title  = {Hankel Determinants of Zeta Values},
  author = {Alan Haynes and Wadim Zudilin},
  journal= {arXiv preprint arXiv:1510.01901},
  year   = {2015}
}