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arXiv:1005.4708 [math.NT]AbstractReferencesReviewsResources

Oscillations in Mertens Theorems and Other Finite Sums and Products

N. A. Carella

Published 2010-05-25, updated 2013-07-10Version 3

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.

Comments: Improved Version, 14 Pages
Categories: math.NT
Subjects: 11A25, 11L20, 11N05
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