| Zeros and the universality for the Euler-Zagier-Hurwitz type of multiple zeta-functions (2009) | |||||||||||||
Abstract | |||||||||||||
| In this paper, we show relations between the zero-free region and the universality for the Euler–Zagier–Hurwitz type of multiple zeta-functions. Roughly speaking these relations imply that we can obtain the universality for the Euler–Zagier–Hurwitz type of multiple zeta-functions by their zero-free property, and vice versa. Moreover, we obtain the non-trivial zeros, joint denseness and functional independence for the Euler–Zagier–Hurwitz type of multiple zeta-functions. | |||||||||||||
Details der Publikation | |||||||||||||
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