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

Masanobu Kaneko; Hirofumi Tsumura

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

Number Theory 2022-08-11 v1

Authors: Masanobu Kaneko , Hirofumi Tsumura

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.

Keywords

multiple zeta values zeta functions zeta values and euler sums

Cite

@article{arxiv.2208.05146,
  title  = {Multiple $L$-values of level four, poly-Euler numbers, and related zeta functions},
  author = {Masanobu Kaneko and Hirofumi Tsumura},
  journal= {arXiv preprint arXiv:2208.05146},
  year   = {2022}
}

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28pages

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