On the ratio of consecutive gaps between primes
Number Theory
2014-07-09 v2
Abstract
In the present work we prove a common generalization of Maynard-Tao's recent result about consecutive bounded gaps between primes and on the Erd\H{o}s-Rankin bound about large gaps between consecutive primes. The work answers in a strong form a 60 years old problem of Erd\"os, which asked whether the ratio of two consecutive primegaps can be infinitely often arbitrarily small, and arbitrarily large, respectively.
Keywords
Cite
@article{arxiv.1406.2658,
title = {On the ratio of consecutive gaps between primes},
author = {Janos Pintz},
journal= {arXiv preprint arXiv:1406.2658},
year = {2014}
}