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math.CA2014★ 28 cited
Multivariate Quadratic Transformations and the Interpolation Kernel
Eric M. Rains
We prove a number of quadratic transformations of elliptic Selberg integrals (conjectured in an earlier paper of the author), as well as studying in depth the "interpolation kernel…
math.AG2014★ 5 cited
Noncommutative geometry and Painlevé equations
Andrei Okounkov, Eric Rains
We construct the elliptic Painlevé equation and its higher dimensional analogs as the action of line bundles on 1-dimensional sheaves on noncommutative surfaces.