RH-Dependent Estimates of Remainder in Modified Mertens Formula
Number Theory
2022-05-13 v1
Abstract
Assuming the validity of Riemann Hypothesis (RH), we derive the explicit bilateral estimates ("narrow passage") of the remainder in the modified Mertens asymptotic formula for the sums of primes' reciprocals. These results are reversable, thus yielding some new criteria for RH.
Keywords
Cite
@article{arxiv.2205.05931,
title = {RH-Dependent Estimates of Remainder in Modified Mertens Formula},
author = {Gennadiy Kalyabin},
journal= {arXiv preprint arXiv:2205.05931},
year = {2022}
}
Comments
8 pages, 7 references