A "Proto-Pellet's Formula" for the M\"obius Function
Number Theory
2020-01-21 v1
Abstract
We give a short proof of "Pellet's Formula" for the M\"{o}bius Function on , deriving an intermediate formula (which we call "Proto-Pellet's Formula") along the way. We then construct and prove an analogous "Proto-Pellet's Formula" for the M\"{o}bius Function for a number field (including the usual M\"{o}bius function on the integers).
Cite
@article{arxiv.2001.05641,
title = {A "Proto-Pellet's Formula" for the M\"obius Function},
author = {Ardavan Afshar},
journal= {arXiv preprint arXiv:2001.05641},
year = {2020}
}
Comments
4 pages. Comments very welcome