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arxiv: 1608.06161 · v3 · pith:APBWG27Jnew · submitted 2016-08-22 · 🧮 math.CA · cond-mat.stat-mech· math-ph· math.MP

Elliptic Hypergeometric Functions

classification 🧮 math.CA cond-mat.stat-mechmath-phmath.MP
keywords elliptichypergeometricfunctionsgiveboltzmannbriefcomprehensiveconstructions
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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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