On a p-adic interpolating function for the multiple generalized Euler numbers and its derivatives

TL;DR

This paper investigates an analytic function that interpolates multiple generalized Euler numbers associated with a character at negative integers, providing new insights into their properties and derivatives.

Contribution

It introduces a p-adic interpolating function for multiple generalized Euler numbers and explores its derivatives, advancing understanding of their p-adic properties.

Findings

Construction of a p-adic interpolating function

Analysis of derivatives of the interpolating function

Enhanced understanding of Euler numbers in p-adic context

Abstract

We study analytic function interpolating the multiple generalized Euler numbers attached to $\chi$ at negative integers.