On the Oscillations of Multiplicative Functions Taking Values +/- 1
Number Theory
2007-05-23 v2
Abstract
For completely multiplicative functions f(n) taking values 1 and -1, under certain conditions on f(n) we show that f(n) changes sign at least x exp(-7(log log x)sqrt(log x)) times as n runs through the integers <= x.
Keywords
Cite
@article{arxiv.math/0208213,
title = {On the Oscillations of Multiplicative Functions Taking Values +/- 1},
author = {Ernie Croot},
journal= {arXiv preprint arXiv:math/0208213},
year = {2007}
}
Comments
12 pages, accepted by Journal of Number Theory