Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Euler Products beyond the Boundary   We investigate the behavior of the Euler products of the Riemann zeta
function and Dirichlet L-functions on the critical line. A refined version of
the Riemann hypothesis, which is named "the Deep Riemann Hypothesis" (DRH), is
examined. We also study various analogs for global function fields. We give an
interpretation for the nontrivial zeros from the viewpoint of statistical
mechanics.

36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th