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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63360We 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.9 pagesNumber Theory11M26On an analytic estimate in the theory of the Riemann Zeta function and a Theorem of Baez-Duartetext