Equivalence of Riesz and Baez-Duarte criterion for the Riemann Hypothesis
Abstract
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.
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