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Zeros of dirichlet <i>L</i>‐functions near the critical line

Zeros of dirichlet <i>L</i>‐functions near the critical line

Abstract We prove an upper bound on the density of zeros very close to the critical line of the family of Dirichlet L ‐functions of modulus q at height T . To do this, we derive an asymptotic for the twisted second moment of Dirichlet L ‐functions uniformly in q …