Version Download Total Views Stock File Size File Type Create Date Last Updated
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.