@inproceedings{d297955632eb49bca7c5e97bd3217f97,
title = "Hyperelliptic curves, continued fractions, and Somos sequences",
abstract = "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.",
keywords = "continued fraction expansion, function field of characteristic zero, hyperelliptic curve, Somos sequence",
author = "{van der Poorten}, {Alfred J.}",
year = "2006",
doi = "10.1214/074921706000000239",
language = "English",
isbn = "0940600641",
series = "Lecture notes-monograph series",
publisher = "Institute of Mathematical Statistics",
pages = "212--224",
editor = "Dee Denteneer and {den Hollander}, Frank and Evgeny Verbitskiy",
booktitle = "Dynamics & stochastics",
address = "United States",
note = "Workshop on Dynamical systems, Probability theory, and Statistical Mehanics ; Conference date: 03-01-2005 Through 07-01-2005",
}