Goldbach Representations in Arithmetic Progressions and zeros of Dirichlet L-functions
Number Theory
2019-02-20 v2
Abstract
Assuming a conjecture on distinct zeros of Dirichlet L-functions we get asymptotic results on the average number of representations of an integer as the sum of two primes in arithmetic progression. On the other hand the existence of good error terms gives information on the the location of zeros of L-functions and possible Siegel zeros. Similar results are obtained for an integer in a congruence class expressed as the sum of two primes.
Cite
@article{arxiv.1704.06103,
title = {Goldbach Representations in Arithmetic Progressions and zeros of Dirichlet L-functions},
author = {Gautami Bhowmik and Karin Halupczok and Kohji Matsumoto and Yuta Suzuki},
journal= {arXiv preprint arXiv:1704.06103},
year = {2019}
}
Comments
Added section 8