Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subconvex equidistribution of cusp forms: reduction to Eisenstein
  observables   Let $\pi$ traverse a sequence of cuspidal automorphic representations of
GL(2) with large prime level, unramified central character and bounded infinity
type. For G either of the groups GL(1) or PGL(2), let H(G) denote the assertion
that subconvexity holds for G-twists of the adjoint $L$-function of $\pi$, with
polynomial dependence upon the conductor of the twist. We show that H(GL(1))
implies H(PGL(2)).
  In geometric terms, H(PGL(2)) corresponds roughly to an instance of
arithmetic quantum unique ergodicity with a power savings in the error term,
H(GL(1)) to the special case in which the relevant sequence of measures is
tested against an Eisenstein series.

16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom