Generalized Riemann hypotheses: sufficient and equivalent criteria

Details Generalized Riemann hypotheses: sufficient and equivalent criteria Generalized Riemann hypotheses: sufficient and equivalent criteria

2010-05-10

arxiv.org/abs/1005.1609v2

Mathematics

Number Theory

Few changes. Accepted for publication in JP Journal of Algebra, Number Theory and Applications

Scientific paper

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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