On the regularity of primes in arithmetic progressions
Number Theory
2016-02-16 v1
Abstract
We prove that for a positive integer the primes in certain kinds of intervals can not distribute too 'uniformly' among the reduced residue classes modulo . Hereby, we prove a generalization of a conjecture of Recaman and establish our results in a much more general situation, in particular for prime ideals in number fields.
Cite
@article{arxiv.1602.04317,
title = {On the regularity of primes in arithmetic progressions},
author = {Christian Elsholtz and Niclas Technau and Robert Tichy},
journal= {arXiv preprint arXiv:1602.04317},
year = {2016}
}