Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Proof of Northshield's conjecture concerning an analogue of Stern's
  sequence for $\mathbb{Z}[\sqrt{2}]$   We prove a conjecture of Northshield by determining the maximal order of his
analogue of Stern's sequence for $\mathbb{Z}[\sqrt{2}]$. In particular, if $b$
is Northshield's analogue, we prove that
$$\limsup_{n\to\infty}\frac{2b(n)}{(2n)^{\log_3 (\sqrt{2}+1)}}=1.$$

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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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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: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin