A multiple sum involving the Moebius function

Mathematics – Number Theory

Scientific paper

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8 pages/ver.2

Scientific paper

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 This is a rework of an old unpublished note of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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