Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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 arguments. We give also some relations involving $c_k$ and
$R(x)$, in particular value of the alternating sum of $c_k$.

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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat