On the zeros of sum from n=1 to 00 of lambda_P(n)/n^s

T. Hilberdink; E. Saias

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arXiv · 1812.11880

On the zeros of sum from n=1 to 00 of lambda_P(n)/n^s

T. Hilberdink·E. Saias

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Abstract

Our main result is to answer a question of Michel Balazard by giving a Dirichlet series with only one zero in its half-plane of convergence. At the end of the paper we also give several sufficient conditions for the Generalized Riemann Hypothesis and ask if any of them are true.

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BibTeX RIS

T. Hilberdink, E. Saias. 2018-12-31. On the zeros of sum from n=1 to 00 of lambda_P(n)/n^s. https://arxiv.org/abs/1812.11880

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