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ON LITTLEWOOD’S PROOF OF THE PRIME NUMBER THEOREM
Published online by Cambridge University Press: 15 August 2019
Abstract
In this note we examine Littlewood’s proof of the prime number theorem. We show that this can be extended to provide an equivalence between the prime number theorem and the nonvanishing of Riemann’s zeta-function on the one-line. Our approach goes through the theory of almost periodic functions and is self-contained.
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- Research Article
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- © 2019 Australian Mathematical Publishing Association Inc.
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