Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrix Model for Riemann Zeta via its Local Factors   We propose the construction of an ensemble of unitary random matrices (UMM)
for the Riemann zeta function. Our approach to this problem is `$p$-iecemeal',
in the sense that we consider each factor in the Euler product representation
of the zeta function to first construct a UMM for each prime $p$. We are able
to use its phase space description to write the partition function as the trace
of an operator that acts on a subspace of square-integrable functions on the
$p$-adic field. This suggests a Berry-Keating type Hamiltonian. We combine the
data from all primes to propose a Hamiltonian and a matrix model for the
Riemann zeta function.

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The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: cond-mat