Generalized Riemann hypotheses: sufficient and equivalent criteria

preprint2010arXivOpen access

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 $|\frac{L(\barχ,s)}{L(χ,1-s)}|$ .

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Generalized Riemann hypotheses: sufficient and equivalent criteria

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