Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A strong multiplicity one theorem for SL(2)   It is known that multiplicity one property holds for SL(2), while the strong
multiplicity one property fails. However, in this paper, we show that if we
require further that a pair of cuspidal representations $\pi$ and $\pi'$ of
SL(2) have the same local components at archimedean places and the places above
2, and they are generic with respect to the same additive character, then they
also satisfy the strong multiplicity one property. The proof is based on a
local converse theorem for SL(2).

37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
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The categories of this paper are: econ
14
The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg