Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit calculations of automorphic forms for definite unitary groups   I give an algorithm for computing the full space of automorphic forms for
definite unitary groups over Q, and apply this to calculate the automorphic
forms of level $G(Z-hat)$ and various small weights for an example of a rank 3
unitary group. This leads to some examples of various types of endoscopic
lifting from automorphic forms for U_1 x U_1 x U_1 and U_1 x U_2, and to an
example of a non-endoscopic form of weight (3,3) corresponding to a family of
3-dimensional irreducible l-adic Galois representations. I also compute the
2-adic slopes of some automorphic forms with level structure at 2, giving
evidence for the local constancy of the slopes.

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The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
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The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn