Moebius-convolutions and the Riemann hypothesis
Number Theory
2007-05-23 v1
Abstract
The well-known necessary and sufficient criteria for the Riemann hypothesis of M. Riesz and Hardy-Littlewood, based on the order of growth at infinity along the positive real axis of certain entire functions, are here imbedded in a general theorem for a class of entire functions, which in turn is seen to be a consequence of a rather transparent convolution criterion. Some properties of the convolutions involved sharpen what is hitherto known for the Riesz function.
Cite
@article{arxiv.math/0504402,
title = {Moebius-convolutions and the Riemann hypothesis},
author = {Luis Baez-Duarte},
journal= {arXiv preprint arXiv:math/0504402},
year = {2007}
}
Comments
11 pages