Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperelliptic curves, continued fractions, and Somos sequences   We detail the continued fraction expansion of the square root of a monic
polynomials of even degree. We note that each step of the expansion corresponds
to addition of the divisor at infinity, and interpret the data yielded by the
general expansion. In the quartic and sextic cases we observe explicitly that
the parameters appearing in the continued fraction expansion yield integer
sequences defined by bilinear relations instancing sequences of Somos type.

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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph