A multiple sum involving the Moebius function

Yoichi Motohashi

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A multiple sum involving the Moebius function

Yoichi Motohashi

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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 This is a rework of an old unpublished note of ours.

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Yoichi Motohashi. 2003-10-20. A multiple sum involving the Moebius function. https://arxiv.org/abs/math/0310064

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