Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the arithmetic properties of Stern Polynomials   We investigate the Stern polynomials defined by $B_0 ( t ) =0,B_1 ( t ) =1$,
and for $n \geq 2$ by the recurrence relations $B_{2n}( t) =tB_{n}( t) ,$
$B_{2n+1}( t) =B_n( t) +B_{n+1}( t) $. We prove that all possible rational
roots of that polynomials are $0,-1,-1/2,-1/3$. We give complete
characterization of $n$ such that $deg( B_n) = deg( B_{n+1}) $ and $deg( B_n)
=deg( B_{n+1}) =deg( B_{n+2}) $. Moreover, we present some result concerning
reciprocal Stern polynomials.

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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an