Higher Lame Equations and Critical Points of Master Functions

dc.creatorMukhin, E.
dc.creatorTarasov, V.
dc.creatorVarchenko, A.
dc.date2006-01-29
dc.date2006-05-02
dc.date.accessioned2026-07-07T06:59:25Z
dc.date.available2026-07-07T06:59:25Z
dc.descriptionUnder certain conditions, we give an estimate from above on the number of differential equations of order $r+1$ with prescribed regular singular points, prescribed exponents at singular points, and having a quasi-polynomial flag of solutions. The estimate is given in terms of a suitable weight subspace of the tensor power $U(\n_-)^{\otimes (n-1)}$, where $n$ is the number of singular points in $\C$ and $U(\n_-)$ is the enveloping algebra of the nilpotent subalgebra of $\glg_{r+1}$.
dc.descriptionLatex, 11 pages, revised version
dc.identifierhttps://arxiv.org/abs/math/0601703
dc.identifierhttp://arxiv.org/abs/math/0601703
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107743
dc.subjectClassical Analysis and ODEs
dc.titleHigher Lame Equations and Critical Points of Master Functions
dc.typetext

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