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1993 Fonction sommatoire de la fonction de Möbius. 2. Majorations asymptotiques élémentaires
François Dress, Mohamed El Marraki
Experiment. Math. 2(2): 99-112 (1993).

Abstract

On établit la majoration "intermédiare" $\mx\le \frac {1}{2360}x$, valable pour x appartenant à l'intervalle $\bigl[10^{12},\,2.2959\, 10^{16}\bigr]$, et d'autres majorations analogues. On établit ensuite la majoration asymptotique $\mx\le \frac {1}{2360}x$, valable pour tout $x\ge 617\, 973 $.

We establish the "intermediary" bound $\mx\le \frac {1}{2360}x$, valid for x in the interval $\bigl[10^{12},\,2.2959\, 10^{16}\bigr]$, and other similar upper bounds. Lastly, we establish the asymptotic upper bound $\mx\le \frac {1}{2360}x$, valid for every $x\ge 617\, 973 $.

Citation

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François Dress. Mohamed El Marraki. "Fonction sommatoire de la fonction de Möbius. 2. Majorations asymptotiques élémentaires." Experiment. Math. 2 (2) 99 - 112, 1993.

Information

Published: 1993
First available in Project Euclid: 24 March 2003

zbMATH: 0817.11062
MathSciNet: MR1259424

Subjects:
Primary: 11Y70
Secondary: 11A25, 11N05

Rights: Copyright © 1993 A K Peters, Ltd.

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Vol.2 • No. 2 • 1993
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