Curves of Genus 2, Continued Fractions, and Somos Sequences
van der Poorten, J. R. B. Alfred · 2005
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 inflnity, and interpret the data yielded by the general expansion. In particular we obtain an associated Somos sequence deflned by a three-term recurrence relation of width 6.