Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relating invariant linear form and local epsilon factors via global
  methods   {We use the recent proof of Jacquet's conjecture due to Harris and Kudla, and
the Burger-Sarnak principle to give a proof about the relationship between the
existence of trilinear forms on representations of $GL_2(k_u)$ for a
non-Archimedean local field $k_u$ and local epsilon factors which was earlier
proved only in the odd residue characteristic by this author. The same method
gives a global proof of a theorem of Saito and Tunnell about characters of
$GL_2$ using a theorem of Waldspurger about period integrals for $GL_2$ and
also an extension of the theorem of Saito-Tunnell by this author which was
earlier proved only in odd residue characteristic.}

27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin