%0 Journal Article %T On the Riesz and Baez-Duarte criteria for the Riemann Hypothesis %A Jerzy Cislo %A Marek Wolf %J Mathematics %D 2008 %I arXiv %X We investigate the relation between the Riesz and the B{\'a}ez-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 $c_k$ appearing in the B{\'a}ez-Duarte formulation. It is shown that $R(x)$ can be expressed by $c_k$, and, vice versa, the sequence $c_k$ can be obtained from the values of $R(x)$ at integer arguments. Also, we give some relations involving $c_k$ and $R(x)$, and value of the alternating sum of $c_k$. %U http://arxiv.org/abs/0807.2971v1