English

On a conjecture of Kimoto and Wakayama

Number Theory 2021-02-04 v2 Combinatorics

Abstract

We prove a conjecture due to Kimoto and Wakayama from 2006 concerning Apery-like numbers associated to a special value of a spectral zeta function. Our proof uses hypergeometric series and p-adic analysis.

Keywords

Cite

@article{arxiv.1404.4723,
  title  = {On a conjecture of Kimoto and Wakayama},
  author = {Ling Long and Robert Osburn and Holly Swisher},
  journal= {arXiv preprint arXiv:1404.4723},
  year   = {2021}
}

Comments

8 pages, to appear in Proceedings of the AMS