On a p-adic interpolating power series of the generalized Euler numbers
On a p-adic interpolating power series of the generalized Euler numbers
\S 1. Introduction.Let $u\neq 1$ be an algebraic number.The n-th Euler number $H^{n}(u)$ belonging to $u$ is defined by $\frac{1-u}{e^{t}-u}=\sum_{n=0}^{\infty}\frac{H^{n}(u)}{n1}t^{n}$ .Let $P$ be a prime number and $\chi$ a primitive Dirichlet character.Shiratani- Yamamoto ([6]) constructed a $p$ -adic interpolating function $G_{p}(s, u)$ of the Euler numbers $H^{n}(u)$ , and as …