Bounding zeta on the 1-line under the partial Riemann hypothesis

2023/10/10 by Andrés Chirre, Chirre, Andrés
Mathematics · #Analytic Number Theory Research #History and Theory of Mathematics #Analytic and geometric function theory

paper · pdf · doi:10.48550/arxiv.2310.06723

Abstract

We provide explicit bounds in the theory of the Riemann zeta-function at the line \Res=1, assuming that the Riemann hypothesis holds until the height T. In particular, we improve some bounds, in finite regions, for the logarithmic derivative and the reciprocal of the Riemann zeta-function.

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