Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Binary quadratic forms and the factorization method of Gauss   In Disquisitiones Arithmeticae, Gauss studied binary quadratic forms and
introduced a very general version of a composition operator that allows
composing even forms of different discriminants and imprimitive forms. Section
V of Disquisitiones contains truly revolutionary ideas and involves very
complicated computations, sometimes left to the reader. With this theory, Gauss
develops a method of factorization using quadratic residues obtained by binary
quadratic forms. In this work we explore Gauss method making many of the
computations necessary to better understand his work.

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The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
1
The categories of this paper are: cs
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The categories of this paper are: eess