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math.FA2020
An operator theoretic approach to the Prime number theorem
Jan-Fredrik Olsen
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…
math.LO2020
IKT and Łukasiewicz-models
Andreas Fjellstad, Jan-Fredrik Olsen
In this note, we show that the first-order logic IK is sound with regard to the models obtained from continuum-valued Łukasiewicz-models for first-order languages by treating t…