On some Criteria for the Riemann Hypothesis

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Author(s) : Florin Nicolae , Alberto Verjovsky

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 33-2012

MSC 2000

11M26 Nonreal zeros of $\zeta $; Riemann and other hypotheses
11N37 Asymptotic results on arithmetic functions

Abstract :
We present an unifying method to prove criteria for the Riemann Hypothesis involving the arithmetical functions of Euler, von Mangoldt, M\"obius and Liouville.

Keywords : Riemann Hypothesis, arithmetical functions