From Bombieri's Mean Value Theorem to the Riemann Hypothesis
General Mathematics
2010-01-12 v2
Abstract
From Bombieri's mean value theorem one can deduce the prime number theorem being equivalent to the Riemann hypothesis and the least prime P(q) satisfying P(q)= O(q^2 [ln q]^32) in any arithmetic progressions with common difference q.
Cite
@article{arxiv.0801.0633,
title = {From Bombieri's Mean Value Theorem to the Riemann Hypothesis},
author = {Fu-Gao Song},
journal= {arXiv preprint arXiv:0801.0633},
year = {2010}
}
Comments
5 pages, 0 figure