On the sum relation of multiple Hurwitz zeta functions |
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Authors: | Chan-Liang Chung |
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Affiliation: | College of Mathematics and Computer Science, Fuzhou University, No. 2, Xueyuan Road, Minhou County, Fuzhou, China |
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Abstract: | In this paper we shall define the special-valued multiple Hurwitz zeta functions, namely the multiple t-values t(α) and define similarly the multiple star t-values as t?(α). Then we consider the sum of all such multiple (star) t-values of fixed depth and weight with even argument and prove that such a sum can be evaluated when the evaluations of t({2m}n) and t*({2m}n) are clear. We give the evaluations of them in terms of the classical Euler numbers through their generating functions. |
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Keywords: | 40B05 11M35 05A15 |
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