Character sums and the Riemann Hypothesis
Volume 214 / 2024
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.