Multi-valued hyperelliptic continued fractions of generalized Halphen type

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dc.creatorDragovic, Vladimir
dc.date2008-09-29
dc.date.accessioned2026-07-07T10:06:08Z
dc.date.available2026-07-07T10:06:08Z
dc.descriptionWe 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.
dc.description29 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0809.4931
dc.identifierhttp://arxiv.org/abs/0809.4931
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170224
dc.subjectDynamical Systems
dc.subjectAlgebraic Geometry
dc.subject41A20; 14H05
dc.titleMulti-valued hyperelliptic continued fractions of generalized Halphen type
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