Emanuel Carneiro, Micah B. Milinovich, Kannan Soundararajan
Published 2017-08-14Version 1
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.
Limiting distributions of the classical error terms of prime number theory
On the $q$-analogue of the pair correlation conjecture via Fourier optimization
Fourier optimization and quadratic forms
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