arXiv Analytics

Sign in

arXiv:0809.4873 [math.CA]AbstractReferencesReviewsResources

Algebraic solutions of the sixth Painleve equation

Oleg Lisovyy, Yuriy Tykhyy

Published 2008-09-28, updated 2008-10-12Version 2

We describe all finite orbits of an action of the extended modular group $\bar{\Lambda}$ on conjugacy classes of SL(2,C)-triples. The result is used to classify all algebraic solutions of the general Painleve VI equation up to parameter equivalence.

Comments: 53 pages, many figures
Related articles: Most relevant | Search more
arXiv:0809.1482 [math.CA] (Published 2008-09-09, updated 2008-10-31)
On Algebraic Solutions to Painleve VI
arXiv:math/0503082 [math.CA] (Published 2005-03-05)
Remarks Towards the Classification of $RS_4^2(3)$-Transformations and Algebraic Solutions of the Sixth Painlevé Equation
arXiv:math/0206285 [math.CA] (Published 2002-06-26)
Algebraic Solutions of the Lamé Equation, Revisited

Links

Toolbox