包含Möbius函数的多重和。

Publications De L'institut Mathematique Pub Date : 2003-10-06 DOI:10.2298/PIM0476031M

Y. Motohashi

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引用次数: 7

摘要

我们考虑一个涉及莫比乌斯函数的多重算术和，尽管它的基本外观实际上是一个非常有趣的性质。我们建立了提出第一个真正非平凡情形的四重情形的渐近公式。这是我们以前未发表的笔记的重写。

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A multiple sum involving the Möbius function.

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 This is a rework of an old unpublished note of ours.

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Publications De L'institut Mathematique

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