The zerofree region of the derivative of Selberg

Authors: Makoto Minamide

Publish Date: 2009/01/08

Volume: 160, Issue: 2, Pages: 187-193

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Abstract

In this article we study the zerofree region of the derivative of Selberg zeta functions associated with compact Riemann surfaces and threedimensional compact hyperbolic spaces We obtain the zerofree region with respect to the left of the critical line of each Selberg zeta function This is an improvement of Wenzhi Luo’s zerofree region theorem for compact Riemann surfaces

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