Multi-valued hyperelliptic continued fractions of generalized Halphen type

Details Multi-valued hyperelliptic continued fractions of generalized Halphen type Multi-valued hyperelliptic continued fractions of generalized Halphen type

2008-09-29

arxiv.org/abs/0809.4931v1

Mathematics

Dynamical Systems

29 pages, 4 figures

Scientific paper

We introduce and study higher genera generalizations of the Halphen theory of continued fractions. The basic notion we start with is hyperelliptic Haplhen (HH) element $$\frac{\sqrt{X_{2g+2}}-\sqrt{Y_{2g+2}}}{x-y},$$ depending on parameter $y$, where $X_{2g+2}$ is a polynomial of degree $2g+2$ and $Y_{2g+2}=X_{2g+2}(y)$. We study regular and irregular HH elements. their continued fraction development and some basic properties of such development: even and odd symmetry and periodicity.

Affiliated with

Also associated with

No associations

Rating

Multi-valued hyperelliptic continued fractions of generalized Halphen type does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Multi-valued hyperelliptic continued fractions of generalized Halphen type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multi-valued hyperelliptic continued fractions of generalized Halphen type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-49048