Ces\`aro average in short intervals for Goldbach numbers
Number Theory
2017-07-28 v2
Abstract
We prove that a suitable explicit formula for the Cesaro-averaged number of representations of an integer as a sum of two primes holds in short intervals.
Keywords
Cite
@article{arxiv.1606.00869,
title = {Ces\`aro average in short intervals for Goldbach numbers},
author = {Alessandro Languasco and Alessandro Zaccagnini},
journal= {arXiv preprint arXiv:1606.00869},
year = {2017}
}
Comments
revised version; to appear in Proc. AMS