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Generalized Riemann hypotheses: sufficient and equivalent criteria

Published 10 May 2010 in math.NT | (1005.1609v2)

Abstract: This paper presents new sufficient and equivalent conditions for the generalized version of the Riemann Hypothesis. The paper derives also statements and remarks concerning zero-free regions, modified Hadamard-product formulas and the behaviour of $|\frac{L(\bar{\chi},s)}{L(\chi,1-s)}|$.

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