Remainder in Modified Mertens Formula and Ramanujan Inequality
Number Theory
2022-01-11 v1
Abstract
A highly strong upper estimate in the modified asymptotic formula for sums of the primes' reciprocals is proved to be necessary (as well as sufficient) in order the Ramanujan inequality holds true. Some other criteria in similar terms are also obtained.
Cite
@article{arxiv.2201.02663,
title = {Remainder in Modified Mertens Formula and Ramanujan Inequality},
author = {Gennadiy Kalyabin},
journal= {arXiv preprint arXiv:2201.02663},
year = {2022}
}
Comments
9 pages, 9 references