The Average Number of Goldbach Representations
Number Theory
2016-01-27 v1
Abstract
Assuming the Riemann Hypothesis, we obtain asymptotic formulas for the average number representations of an even integer as the sum of two primes. We use the method of Bhowmik and Schlage-Puchta and refine their results slightly to obtain a more recent result of Languasco and Zaccagnini, and a new result on a smoother average.
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Cite
@article{arxiv.1601.06902,
title = {The Average Number of Goldbach Representations},
author = {D. A. Goldston and Liyang Yang},
journal= {arXiv preprint arXiv:1601.06902},
year = {2016}
}
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8 pages