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

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dc.creatorCislo, J.
dc.creatorWolf, M.
dc.date2006-07-31
dc.date.accessioned2026-07-07T07:21:10Z
dc.date.available2026-07-07T07:21:10Z
dc.descriptionWe 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 arguments. We give also some relations involving $c_k$ and $R(x)$, in particular value of the alternating sum of $c_k$.
dc.identifierhttps://arxiv.org/abs/math/0607782
dc.identifierhttp://arxiv.org/abs/math/0607782
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115207
dc.subjectNumber Theory
dc.subject11M26We investigate the relation between the Riesz and the Baez-Duarte criterion
dc.titleEquivalence of Riesz and Baez-Duarte criterion for the Riemann Hypothesis
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