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I presented this paper in the MathSciNet seminar on April 19, 2018 at the Mathematics Department of UBC. Find the help-sheet of formulas here.


Abstract: In this paper, Onozuka, with the excuse of proving a zero-free region for the multiple zeta star function and similar multiple zeta functions, explains the general version of Dirichlet series for arithmetic functions of $k$ variables (which are called multiple Dirichlet series) and hence multiple Dirichlet products. They construct a zero-free region for a large family of Dirichlet series, including the multiple zeta star function.

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