On the regularity of primes in arithmetic progressions

Abstract

We prove that for a positive integer [Formula: see text] the primes in certain kinds of intervals cannot distribute too “uniformly” among the reduced residue classes modulo [Formula: see text]. 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.

Locations

• International Journal of Number Theory - View
• arXiv (Cornell University) - View - PDF