Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On integral of exponent of a homogeneous polynomial   We introduce the notion of G-hypergeometric function, where G is a complex
Lie group. In the case when G is a complex torus, this notion amounts to the
notion of Gelfand's A-hypergeometric function. We show that the integral $\int
e^{P(x_1,...,x_n)}dx_1...dx_n$, where P is a homogeneous polynomial, is a
GL(n)-hypergeometric function of algebraic SL(n)-invariants of the polynomial.

16
The categories of this paper are: stat
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin