The p-adic generalized twisted (h,q)-euler-l-function and its applications

TL;DR

This paper introduces a new p-adic twisted (h,q)-Euler-l-function that interpolates twisted Euler numbers linked to a character at negative integers, expanding the understanding of p-adic Euler functions.

Contribution

It constructs a novel p-adic twisted (h,q)-Euler-l-function that generalizes previous Euler functions and connects them to p-adic analysis and number theory.

Findings

Defines the p-adic twisted (h,q)-Euler-l-function.

Shows interpolation of twisted Euler numbers at negative integers.

Establishes connections to p-adic number theory.

Abstract

The purpose of this paper is to construct the p-adic twisted (h,q)-Euler-l-function, which interpolates the twisted generalized twisted Euler numbers attached to chi at a negative integer.