English

The Dwork-Frobenius operator on hypergeometric series

Number Theory 2022-04-22 v1 Algebraic Geometry

Abstract

We describe the action of the Dwork-Frobenius operator on certain AA-hypergeometric series. As a consequence, we obtain an integrality result for the coefficients of those series. This implies an integrality result for classical hypergeometric series.

Keywords

Cite

@article{arxiv.2204.09814,
  title  = {The Dwork-Frobenius operator on hypergeometric series},
  author = {Alan Adolphson and Steven Sperber},
  journal= {arXiv preprint arXiv:2204.09814},
  year   = {2022}
}

Comments

33 pages

R2 v1 2026-06-24T10:54:05.231Z