Pretentious multiplicative functions and an inequality for the zeta-function
数论
2007-05-23 v1 经典分析与常微分方程
摘要
We note how several central results in multiplicative number theory may be rephrased naturally in terms of multiplicative functions that pretend to be another multiplicative function . We formalize a `distance' which gives a measure of such {\sl pretentiousness}, and as one consequence obtain a curious inequality for the zeta-function.
引用
@article{arxiv.math/0608407,
title = {Pretentious multiplicative functions and an inequality for the zeta-function},
author = {Andrew Granville and K. Soundararajan},
journal= {arXiv preprint arXiv:math/0608407},
year = {2007}
}
备注
8 pages