English

A multiple sum involving the Moebius function

Number Theory 2007-05-23 v2

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 This is a rework of an old unpublished note of ours.

Keywords

Cite

@article{arxiv.math/0310064,
  title  = {A multiple sum involving the Moebius function},
  author = {Yoichi Motohashi},
  journal= {arXiv preprint arXiv:math/0310064},
  year   = {2007}
}

Comments

8 pages/ver.2