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arxiv: 1005.1609 · v2 · pith:3VQPFEMOnew · submitted 2010-05-10 · 🧮 math.NT

Generalized Riemann hypotheses: sufficient and equivalent criteria

classification 🧮 math.NT
keywords equivalentgeneralizedriemannsufficientbehaviourconcerningconditionscriteria
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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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