Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A summation formula for triples of quadratic spaces   Let $V_1,V_2,V_3$ be a triple of even dimensional vector spaces over a number
field $F$ equipped with nondegenerate quadratic forms
$\mathcal{Q}_1,\mathcal{Q}_2,\mathcal{Q}_3$, respectively. Let \begin{align*} Y
\subset \prod_{i=1}V_i \end{align*} be the closed subscheme consisting of
$(v_1,v_2,v_3)$ on which
$\mathcal{Q}_1(v_1)=\mathcal{Q}_2(v_2)=\mathcal{Q}_3(v_3)$. Motivated by
conjectures of Braverman and Kazhdan and related work of Lafforgue, Ng\^o, and
Sakellaridis we prove an analogue of the Poisson summation formula for certain
functions on this space.

6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin