Yusuke Nemoto

collaborators

3 papers

math.NT2025

On special values of generalized $p$ -adic hypergeometric functions of logarithmic type

Yusuke Nemoto

We introduce a new type of $p$ -adic hypergeometric functions, which are generalizations of $p$ -adic hypergeometric functions of logarithmic type defined by Asakura, and show that t…

math.NT2025

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

Yusuke Nemoto

In this paper, we give a transformation formula of Dwork's $p$ -adic hypergeometric function between $t$ and $t^{- 1}$ . As an appendix, we introduce a finite analogue of this transfo…

math.NT2022

Kampé de Fériet hypergeometric functions over finite fields

Ryojun Ito, Satoshi Kumabe, Akio Nakagawa +1

Kampé de Fériet hypergeometric functions are two-variable hypergeometric functions, which are a generalization of Appell's functions. It is known that they satisfy many reduction a…

On special values of generalized p-adic hypergeometric functions of logarithmic type

Transformation formula of Dwork's p-adic hypergeometric function

Kampé de Fériet hypergeometric functions over finite fields

On special values of generalized $p$ -adic hypergeometric functions of logarithmic type

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