Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From asymptotic to closed forms for the Keiper/Li approach to the
  Riemann Hypothesis   The Riemann Hypothesis (RH) - that all nonreal zeros of Riemann's zeta
function shall have real part 1/2 - remains a major open problem. Its most
concrete equivalent is that an infinite sequence of real numbers, the
Keiper--Li constants, shall be everywhere positive (Li's criterion). But those
numbers are analytically elusive and strenuous to compute, hence we seek
simpler variants. The essential sensitivity to RH of that sequence lies in its
asymptotic tail; then, retaining this feature, we can modify the Keiper--Li
scheme to obtain a new sequence in elementary closed form. This makes for a
more explicit analysis, with easier and faster computations. We can moreover
show how the new sequence will signal RH-violating zeros if any, by observing
its analogs for the Davenport--Heilbronn counterexamples to RH.

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The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
16
The categories of this paper are: stat
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The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio