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On multiple Hurwitz zeta function of Mordell–Tornheim type

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We introduce a certain multiple Hurwitz zeta function as a generalization of the Mordell–Tornheim multiple zeta function, and study its analytic properties. In particular, we evaluate the values of the… Click to show full abstract

We introduce a certain multiple Hurwitz zeta function as a generalization of the Mordell–Tornheim multiple zeta function, and study its analytic properties. In particular, we evaluate the values of the function and its first and second derivatives at non-positive integers.

Keywords: hurwitz zeta; zeta; zeta function; multiple hurwitz; mordell tornheim

Journal Title: International Journal of Number Theory
Year Published: 2021

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