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arXiv · 0807.4145

Une suite de matrices sym\'etriques en rapport avec la fonction de Mertens

Jean-Paul Cardinal
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Abstract

In this paper we explore a class of equivalence relations over $\N^\ast$ from which is constructed a sequence of symetric matrices related to the Mertens function. From numerical experimentations we suggest a conjecture, about the growth of the quadratic norm of these matrices, which implies the Riemann hypothesis. This suggests that matrix analysis methods may play a more important part in this classical and difficult problem.

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Jean-Paul Cardinal. 2008-07-25. Une suite de matrices sym\'etriques en rapport avec la fonction de Mertens. https://arxiv.org/abs/0807.4145

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