Generalized Mertens sums
Number Theory
2019-10-08 v1
Abstract
Extending a classical estimate of Mertens for the sum of the reciprocals of the first primes, we provide an explicit remainder formula for products of an arbitrary, but fixed, number of primes.
Cite
@article{arxiv.1910.02781,
title = {Generalized Mertens sums},
author = {Gérald Tenenbaum},
journal= {arXiv preprint arXiv:1910.02781},
year = {2019}
}
Comments
After seeing a recent preprint of Tianfang Qi and Su Hu (arXiv:1909.10930) on the same subject, but using a different approach, an minor overlook with respect to the published version has been corrected