Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A cohomological interpretation of archimedean zeta integrals for ${\rm
  GL}_3\times {\rm GL}_2$   By studying an explicit form of the Eichler--Shimura map for ${\rm GL}_3$, we
describe a precise relation between critical values of the complete
$L$-function for the Rankin--Selberg convolution ${\rm GL}_3 \times {\rm GL}_2$
and the cohomological cup product of certain rational cohomology classes which
are uniquely determined up to rational scalar multiples from the cuspidal
automorphic representations under consideration. This refines rationality
results on critical values due to Raghuram et al.

15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph