1 8 Ju l 2 00 8 On the Riesz and Báez - Duarte criteria for the Riemann Hypothesis
نویسندگان
چکیده
We investigate the relation between the Riesz and the Báez-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 Báez-Duarte formulation. It is shown that R(x) can be expressed by ck, and, vice versa, the sequence ck can be obtained from the values of R(x) at integer arguments. Also, we give some relations involving ck and R(x), and value of the alternating sum of ck. Dedicated to Prof. Luis Báez-Duarte on the occasion of his 70th birthday
منابع مشابه
m at h . N T ] 3 1 Ju l 2 00 6 Equivalence of Riesz and Baez - Duarte criterion for the Riemann Hypothesis
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 c k appearing in the Baez-Duarte formulation. It is shown that R(x) can expressed by c k and vice versa the sequence c k can be obtained from the values of R(x) at integer argumen...
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