English

Transformation formula of Dwork's $p$-adic hypergeometric function

Number Theory 2025-06-02 v1

Abstract

In this paper, we give a transformation formula of Dwork's pp-adic hypergeometric function between tt and t1t^{-1}. As an appendix, we introduce a finite analogue of this transformation formula, which implies the special case of the above transformation formula.

Keywords

Cite

@article{arxiv.2505.24215,
  title  = {Transformation formula of Dwork's $p$-adic hypergeometric function},
  author = {Yusuke Nemoto},
  journal= {arXiv preprint arXiv:2505.24215},
  year   = {2025}
}

Comments

11 pages

R2 v1 2026-07-01T02:49:52.862Z