Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Binary Kloosterman sums using Stickelberger's theorem and the
  Gross-Koblitz formula   Let $\mathcal{K}(a)$ denote the Kloosterman sum on the finite field of order
$2^n$. We give a simple characterization of $\mathcal{K}(a)$ modulo 16, in
terms of the trace of $a$ and one other function. We also give a
characterization of $\mathcal{K}(a)$ modulo 64 in terms of a different
function, which we call the lifted trace. Our proofs use Fourier analysis,
Stickelberger's theorem and the Gross-Koblitz formula.

15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
1
The categories of this paper are: cs
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph