Fourier optimization and prime gaps

Emanuel Carneiro, Micah B. Milinovich, K. Soundararajan

Type: Article

Publication Date: 2019-09-25

Citations: 25

DOI: https://doi.org/10.4171/cmh/467

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.

Locations

Commentarii Mathematici Helvetici - View
arXiv (Cornell University) - View - PDF
DataCite API - View

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