EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)
Vol. 76(90), pp. 31–39 (2004)

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A MULTIPLE SUM INVOLVING THE MÖBIUS FUNCTION

Yoichi Motohashi

Department of Mathematics, College of Science and Technology, Nihon University, Surugadai, Tokyo 101-8308, Japan

Abstract: We consider a multiple arithmetical sum involving the Möbius function which despite its elementary appearance is in fact of a highly intriguing nature. We establish an asymptotic formula for the quadruple case that raises the first genuinely non-trivial situation. This is a rework of an old unpublished note of ours.

Classification (MSC2000): 11A25; 11M06

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Electronic fulltext finalized on: 17 Dec 2004. This page was last modified: 9 Feb 2005.

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