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Irrationality of the Roots of the Yablonskii-Vorob'ev Polynomials and Relations between Them
second Painlev´ e equation rational solutions power series expansion
2011/1/21
We study the Yablonskii–Vorob’ev polynomials, which are special polynomials used to represent rational solutions of the second Painlev´e equation. Divisibility properties of the coefficients of ...
Asymptotic Distribution Of The Roots Of The Ehrhart Polynomial Of The Cross-Polytope
Asymptotic Distribution Roots Of The Ehrhart Polynomial eCross-Polytope
2011/1/20
We use the method of steepest descents to study the root distribution of the Ehrhart polynomial of the d-dimensional cross-polytope, namely Ld, as d ! 1. We prove that the distribution function of the...
New solutions to the $s\ell_q(2)$-invariant Yang-Baxter equations at roots of unity
New solutions $s\ell_q(2)$-invariant Yang-Baxter equations
2011/3/1
We have found new solutions to Yang-Baxter equations with R-matrices acquiring slq(2) symmetry
at roots of unity using indecomposable representations of the algebra.