On an analytic estimate in the theory of the Riemann Zeta function and a Theorem of Baez-Duarte

2002/02/18 by Jean-Francois Burnol
Mathematics · #math.NT #msc:11M26

paper · pdf

published as Acta Cientifica Venezolana, 54: 210-215, 2003 · 9 pages

arxiv created 2002/02/18 · arxiv updated 2009/11/30

Abstract

We establish a uniform upper estimate for the values of zeta(s)/zeta(s+A), 0<= A, on the critical line (conditionally on the Riemann Hypothesis). We use this to give a variant, purely complex analytic, to Baez-Duarte's proof of a strengthened Nyman-Beurling criterion for the validity of the Riemann Hypothesis.

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