English

Primes in explicit short intervals on RH

Number Theory 2015-10-06 v2

Abstract

On the assumption of the Riemann hypothesis, we give explicit upper bounds on the difference between consecutive prime numbers.

Keywords

Cite

@article{arxiv.1503.05403,
  title  = {Primes in explicit short intervals on RH},
  author = {Adrian Dudek and Loïc Grenié and Giuseppe Molteni},
  journal= {arXiv preprint arXiv:1503.05403},
  year   = {2015}
}

Comments

Corrected Corollary 4.1. Minor changes to the bibliography. To appear in Int. J. Number Theory

R2 v1 2026-06-22T08:56:07.276Z