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

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

2002-02-18

arxiv.org/abs/math/0202166v1

Acta Cientifica Venezolana, 54: 210-215, 2003

Mathematics

Number Theory

9 pages

Scientific paper

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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