Positive Proportion of Small Gaps Between Consecutive Primes
Abstract
We prove that a positive proportion of the gaps between consecutive primes are short gaps of length less than any fixed fraction of the average spacing between primes.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2011
- DOI:
- 10.48550/arXiv.1103.3986
- arXiv:
- arXiv:1103.3986
- Bibcode:
- 2011arXiv1103.3986G
- Keywords:
-
- Mathematics - Number Theory;
- 11N05
- E-Print:
- 9 pages