2006/07/31 by Jerzy Cisło, J. Cislo, Marek Wolf +3
Mathematics · #11M26We investigate the relation between the Riesz and the Baez-Duarte criterion #Advanced Algebra and Geometry #Analytic Number Theory Research #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #math.NT #msc:11M26We
paper · pdf · doi:10.48550/arxiv.math/0607782
arxiv created 2006/07/31 · openalex publication_date 2006/07/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the relation between the Riesz and the Baez-Duarte criterion for the Riemann Hypothesis. In particular we present the relation between the function R(x) appearing in the Riesz criterion and the sequence ck appearing in the Baez-Duarte formulation. It is shown that R(x) can expressed by ck and vice versa the sequence ck can be obtained from the values of R(x) at integer arguments. We give also some relations involving ck and R(x), in particular value of the alternating sum of ck.