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Elliptic hypergeometric functions

Authors Hjalmar Rosengren
Publication year 2016
Published at Department of Mathematical Sciences, Mathematics
Language en
Subject categories Mathematical physics, Mathematics


Lecture notes for a course given at the summer school OPSF-S6, College Park, Maryland, 11-15 July 2016. In these lecture notes I give an elementary introduction to elliptic hypergeometric functions. I focus on motivating the main ideas and constructions, rather than giving a comprehensive survey. The lectures include a brief explanation of the historical origin of elliptic hypergeometric functions in the context of solvable lattice models. In particular, I give a new proof of the fact that fused Boltzmann weights for the elliptic solid-on-solid model can be expressed as elliptic hypergeometric sums.

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