On explicit relations for values of Kaneko-Tsumura's λ function

Abstract

Recently, Kaneko and Tsumura introduced multiple T-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 λ function at positive integers, including the duality type relation.

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