An operator theoretic approach to the Prime number theorem

Published 13 Nov 2020 in math.FA, math.CA, and math.NT | (2011.06972v1)

Abstract: In this short note, we establish an operator theoretic version of the Wiener-Ikehara tauberian theorem, and point out how this leads to a new proof of the Prime number theorem that should be accessible to anyone with a basic knowledge of operator theory.

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Jan-Fredrik Olsen

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