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Fourier optimization and prime gaps

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arxiv 1708.04122 v2 pith:CBR3NFSY submitted 2017-08-14 math.NT math.CA

Emanuel Carneiro , Micah B. Milinovich , Kannan Soundararajan This is my paper · ORCID
classification math.NTmath.CA
keywords fourierprimeanalysisassumingboundsconnectionconsecutivecurrent
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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.

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Cited by 1 Pith paper

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  1. Pair correlation for Dedekind zeta functions of abelian extensions

    math.NT 2019-08 conditional novelty 6.0 of 10

    Assuming GRH, the authors prove new upper bounds on the total multiplicity of zeros and deduce that at least 45.85% of zeros of quadratic-field Dedekind zeta functions are distinct.

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