Evidence in favor of the Baez-Duarte criterion for the Riemann Hypothesis

Abstract

We present formulae allowing calculation of numerical values of the numbers $c_k$ appearing in the Baez-Duarte criterion for the Riemann Hypothesis for arbitrary large $k$. We present plots of $c_k$ for $k\in (1,10^9)$.

arXiv comment15 pages, 3 figures This version contains some additional material, in particular discussion of the machanism of possible violation of the Baez-Duarte criterion

References in corpus (2)

• Hypergeometric-like Representation of the Zeta-Function of Riemann
• Riemann Hypothesis: The Riesz-Hardy-Littlewood wave in the long wavelength region