On Functions of Arakawa and Kaneko and Multiple Zeta Functions
نویسنده
چکیده
We study for s ∈ N the functions ξk(s) = 1 Γ(s) R ∞ 0 t et−1 Lik(1−e )dt, and more generally ξk1,...,kr (s) = 1 Γ(s) R ∞ 0 t et−1 Lik1,...,kr (1 − e )dt, introduced by Arakawa and Kaneko [2] and relate them with (finite) multiple zeta functions, partially answering a question of [2]. In particular, we give an alternative proof of a result of Ohno [8].
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تاریخ انتشار 2009