A multiple sum involving the Moebius function

2003/10/06 by Yoichi Motohashi, Motohashi, Yoichi
Mathematics · #11A25 (Primary) #11M06 (Secondary) #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11A25 #msc:11M06

paper · pdf · doi:10.48550/arxiv.math/0310064

8 pages/ver.2

arxiv created 2003/10/20 · arxiv updated 2009/12/01

Abstract

We consider a multiple arithmetical sum involving the Moebius 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 This is a rework of an old unpublished note of ours.

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