Tohoku Mathematical Journal
2024
September
SECOND SERIES VOL. 76, NO. 3

Tohoku Math. J.
76 (2024), 361-389

Title MULTIPLE $L$-VALUES OF LEVEL FOUR, POLY-EULER NUMBERS, AND RELATED ZETA FUNCTIONS

Author Masanobu Kaneko and Hirofumi Tsumura

(Received August 10, 2022, revised January 6, 2023)
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.

Mathematics Subject Classification. Primary 11M32; Secondary 11B68, 11M41.
Key words and phrases. Multiple $L$-values, poly-Euler numbers, Entringer numbers.

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