On explicit relations for values of Kaneko-Tsumura's $\lambda$ function
Number Theory
2023-03-08 v1
Abstract
Recently, Kaneko and Tsumura introduced multiple -values, another kind of poly-Euler numbers and the related Arakawa-Kaneko type zeta function. It is shown that each of them satisfies similar formulas to those of multiple zeta values, poly-Bernoulli numbers and the related Arakawa-Kaneko type zeta function. In this paper, we show some explicit relations for values of Kaneko-Tsumura function at positive integers, including the duality type relation.
Cite
@article{arxiv.2303.03559,
title = {On explicit relations for values of Kaneko-Tsumura's $\lambda$ function},
author = {Kyosuke Nishibiro},
journal= {arXiv preprint arXiv:2303.03559},
year = {2023}
}
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14 pages