Generalized Mertens sums
arXiv:1910.02781
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.
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