Improved results on the Mertens conjecture
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- by Yannick Saouter and Herman te Riele PDF
- Math. Comp. 83 (2014), 421-433 Request permission
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.References
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Additional Information
- Yannick Saouter
- Affiliation: Institut Telecom Brest, Bretagne
- Email: Yannick.Saouter@enst-bretagne.fr
- Herman te Riele
- Affiliation: CWI, Amsterdam, Netherlands
- Email: Herman.te.Riele@cwi.nl
- Received by editor(s): December 14, 2011
- Received by editor(s) in revised form: April 26, 2012, and May 9, 2012
- Published electronically: May 28, 2013
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 83 (2014), 421-433
- MSC (2010): Primary 11-04, 11A15, 11M26, 11Y11, 11Y35
- DOI: https://doi.org/10.1090/S0025-5718-2013-02716-0
- MathSciNet review: 3120597