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

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.

Authors

Publication Details

Journal
Tohoku Mathematical Journal
Published
2024-09-01
DOI
https://doi.org/10.2748/tmj.20230110
Citations
7
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
8.89
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

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

Hirofumi Tsumura, Masanobu Kaneko
7 citations
Tohoku Mathematical Journal
Advanced Mathematical Identities
8.89
article

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

Hirofumi Tsumura, Masanobu Kaneko
article en
7 citations

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.

Tohoku Mathematical JournalVol. 76(3)
Openalex Percentile: Top 2%
Advanced Mathematical Identities
8.89
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.