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Hypergeometric theta functions and elliptic Macdonald polynomials

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Publication:5693318
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DOI10.1155/S1073792804132893zbMath1073.33013arXivmath/0309452OpenAlexW1671747726MaRDI QIDQ5693318

Alexander Varchenko, Giovanni Felder

Publication date: 24 September 2005

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309452



Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Relationship to Lie algebras and finite simple groups (11F22) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)


Related Items (6)

Construction of eigenfunctions for the elliptic Ruijsenaars difference operators ⋮ Traces of intertwiners for quantum affine \(\mathfrak{sl}_2\) and Felder-Varchenko functions ⋮ Non-stationary Ruijsenaars functions for \(\kappa = t^{-1/N}\) and intertwining operators of Ding-Iohara-Miki algebra ⋮ Basic properties of non-stationary Ruijsenaars functions ⋮ Extended trigonometric Cherednik algebras and nonstationary Schrödinger equations with delta-potentials ⋮ Affine Macdonald conjectures and special values of Felder-Varchenko functions




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