Improved results on the Mertens conjecture

Saouter, Yannick; Riele, Herman

doi:10.1090/S0025-5718-2013-02716-0

Improved results on the Mertens conjecture
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by Yannick Saouter and Herman te Riele;

Math. Comp. 83 (2014), 421-433

DOI: https://doi.org/10.1090/S0025-5718-2013-02716-0

Published electronically: May 28, 2013

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Abstract:

In this article, we study the Mertens conjecture. We revisit and improve the original constructive disproof of János Pintz. We obtain a new lower bound for the minimal counterexample and new numerical results for this conjecture.

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