Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 2-adic Valuations of Quadratic Sequences   Properties of 2-adic valuation sequences for general quadratic polynomials
with integer coefficients are determined directly from the coefficients. These
properties include boundedness or unboundedness, periodicity, and valuations at
terminating nodes. We completely describe the periodic sequences in the bounded
case. Throughout, we frame results in terms of trees and sequences.

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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
30
The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph