Explicit Short Intervals for Primes in Arithmetic Progressions on GRH
Number Theory
2019-01-15 v2
Abstract
We prove explicit versions of Cram\'er's theorem for primes in arithmetic progressions, on the assumption of the generalized Riemann hypothesis.
Keywords
Cite
@article{arxiv.1606.08616,
title = {Explicit Short Intervals for Primes in Arithmetic Progressions on GRH},
author = {Adrian W. Dudek and Loïc Grenié and Giuseppe Molteni},
journal= {arXiv preprint arXiv:1606.08616},
year = {2019}
}
Comments
A misprint in a formula has been corrected; all constants appearing in the conclusions have improved considerably