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arXiv · 1608.06161

Elliptic Hypergeometric Functions

Hjalmar Rosengren
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Abstract

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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Hjalmar Rosengren. 2016-08-22. Elliptic Hypergeometric Functions. https://arxiv.org/abs/1608.06161

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