Is it possible to compute the Moebius function without factoring?
General Mathematics
2011-12-16 v9
Abstract
It has been well known since Fermat's Little Theorem was first published that it is possible to determine that a number is composite without determining any of its nontrivial factors. It is natural to ask whether it is also possible to compute the Moebius function of a composite number without determining any of its nontrivial factors. In this note, we argue that this is impossible.
Cite
@article{arxiv.math/0309148,
title = {Is it possible to compute the Moebius function without factoring?},
author = {Craig Alan Feinstein},
journal= {arXiv preprint arXiv:math/0309148},
year = {2011}
}
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