Fourier optimization and prime gaps
Number Theory
2021-08-09 v2 Classical Analysis and ODEs
Abstract
We investigate some extremal problems in Fourier analysis and their connection to a problem in prime number theory. In particular, we improve the current bounds for the largest possible gap between consecutive primes assuming the Riemann hypothesis.
Cite
@article{arxiv.1708.04122,
title = {Fourier optimization and prime gaps},
author = {Emanuel Carneiro and Micah B. Milinovich and Kannan Soundararajan},
journal= {arXiv preprint arXiv:1708.04122},
year = {2021}
}
Comments
Minor revisions in version 2; to appear in Comment. Math. Helv.; 30 pages