Multiple $L$-values of level four, poly-Euler numbers, and related zeta functions

TL;DR

This paper explores specific multiple L-values of conductor four, introduces a new version of multiple poly-Euler numbers, and discusses related zeta functions of level four, expanding understanding in this specialized area.

Contribution

It provides new formulas for multiple L-values of conductor four and introduces a novel version of multiple poly-Euler numbers related to level four zeta functions.

Findings

Derived formulas for multiple L-values of conductor four

Introduced a new version of multiple poly-Euler numbers

Connected these concepts to zeta functions of level four

Abstract

We present several formulas for some specific multiple $L$-values of conductor four. This grew out from the study of zeta functions of level four of Arakawa-Kaneko type. Closely related is a new version of multiple poly-Euler numbers and we briefly discuss this too.