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Basic properties of non-stationary Ruijsenaars functions (Q2223041)

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Language	Label	Description	Also known as
English	Basic properties of non-stationary Ruijsenaars functions	scientific article

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scholarly article

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Basic properties of non-stationary Ruijsenaars functions (English)

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Masatoshi Noumi

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Jun'ichi Shiraishi

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SIGMA. Symmetry, Integrability and Geometry: Methods and Applications

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publication date

28 January 2021

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full work available at URL

https://arxiv.org/abs/2006.07171

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zbMATH Keywords

elliptic integrable systems

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elliptic hypergeometric functions

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Ruijsenaars systems

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MaRDI profile type

MaRDI publication profile

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Series solutions of the non-stationary Heun equation

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Exact solutions by integrals of the non-stationary elliptic Calogero–Sutherland equation

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On a complete solution of the quantum Dell system

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On double-elliptic integrable systems. I: A duality argument for the case of \(\text{SU}(2)\)

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The \(q\)-deformed Knizhnik-Zamolodchikov-Bernard heat equation.

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\(q\)-deformed KZB heat equation: completeness, modular properties and \(\text{SL}(3,\mathbb Z)\).

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Hypergeometric theta functions and elliptic Macdonald polynomials

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Duality in integrable systems and gauge theories

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Non-stationary Ruijsenaars functions for \(\kappa = t^{-1/N}\) and intertwining operators of Ding-Iohara-Miki algebra

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Joint Eigenfunctions for the Relativistic Calogero–Moser Hamiltonians of Hyperbolic Type. III. Factorized Asymptotics

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The quantum DELL system

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Explicit solution of the (quantum) elliptic Calogero-Sutherland model

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Seiberg-Witten prepotential from instanton counting

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Complete integrability of relativistic Calogero-Moser systems and elliptic function identities

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Hilbert-Schmidt operators vs. integrable systems of elliptic Calogero-Moser type. I: The eigenfunction identities

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Hilbert-Schmidt operators vs. Integrable systems of elliptic Calogero-Moser type. II: The \(A _{N - 1}\) case: First steps

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A conjecture about raising operators for Macdonald polynomials

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Affine screening operators, affine Laumon spaces and conjectures concerning non-stationary Ruijsenaars functions

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Identifiers

zbMATH Open document ID

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10.3842/SIGMA.2020.105

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2223041

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