Curves of genus 2, continued fractions, and somos sequences

Alfred J. Van Der Poorten*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)

    Abstract

    We detail the continued fraction expansion of the square root of monic sextic polynomials. We note in passing that each line of the expansion corresponds to addition of the divisor at infinity, and interpret the data yielded by the general expansion. In particular we obtain an associated Somos sequence defined by a three-term recurrence relation of width 6.

    Original languageEnglish
    JournalJournal of Integer Sequences
    Volume8
    Issue number3
    Publication statusPublished - 2005

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