Oscillations in Mertens Theorems and Other Finite Sums and Products
Number Theory
2013-07-11 v3
Abstract
This note simplifies the proof of a recent result on the oscillation of the prime product in Martens Theorem, and provides a quantitative expression for the error term. In addition, the corresponding oscillation results for the finite sums of the reciprocal of the primes up to a fixed number and other finite sums and products are also given.
Cite
@article{arxiv.1005.4708,
title = {Oscillations in Mertens Theorems and Other Finite Sums and Products},
author = {N. A. Carella},
journal= {arXiv preprint arXiv:1005.4708},
year = {2013}
}
Comments
Improved Version, 14 Pages