Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit Result on Equivalence of Rational Quadratic Forms Avoiding
  Primes   Given a pair of regular quadratic forms over $\mathbb{Q}$ which are in the
same genus and a finite set of primes $P$, we show that there is an effective
way to determine a rational equivalence between these two quadratic forms which
are integral over every prime in $P$. This answers one of the principal
questions posed by Conway and Sloane in their book {\em Sphere packings,
lattices and groups}, Grundlehren der Mathematischen Wissenschaften
[Fundamental Principles of Mathematical Sciences], Vol 290, Springer-Verlag,
New York, 1999; page 402.

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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con