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Character sums and the Riemann Hypothesis

Volume 214 / 2024

Brian Conrey Acta Arithmetica 214 (2024), 327-342 MSC: Primary 11L40; Secondary 11M26 DOI: 10.4064/aa230530-13-11 Published online: 11 April 2024

Abstract

We prove that an innocent looking inequality implies the Riemann Hypothesis and show a way to approach this inequality through sums of Legendre symbols.

Authors

  • Brian ConreyAmerican Institute of Mathematics
    Caltech 8-32
    Pasadena, CA 91125, USA
    e-mail

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