Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Whittaker-Shintani functions for symplectic groups   In this note, we give a formula for the Whittaker-Shintani functions for the
p-adic symplectic groups, which is a generalization of the Zonal spherical
functions and Whittaker functions. We then use the formula to give an
alternative proof of a conjecture given by T.Shintani on the unramified
calculation of L-function for $Sp_{2n}\times GL_{1}$.

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The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci