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Rarefied elliptic hypergeometric functions (Q1647398)

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Language	Label	Description	Also known as
English	Rarefied elliptic hypergeometric functions	scientific article

Statements

scholarly article

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Rarefied elliptic hypergeometric functions (English)

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Vyacheslav P. Spiridonov

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Advances in Mathematics

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publication date

26 June 2018

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full work available at URL

https://arxiv.org/abs/1609.00715

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zbMATH Keywords

elliptic hypergeometric functions

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elliptic functions

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elliptic hypergeometric equation

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root systems

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MaRDI profile type

MaRDI publication profile

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Partition function of the eight-vertex lattice model

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Exact solution of the Faddeev-Volkov model

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An elliptic hypergeometric integral with \(W(F_4)\) symmetry

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Yang-Baxter equation, parameter permutations, and the elliptic beta integral

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Integrability of difference Calogero–Moser systems

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An elliptic Macdonald-Morris conjecture and multiple modular hypergeometric sums

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Applications of the superconformal index for protected operators and \(q\)-hypergeometric identities to \({\mathcal N}=1\) dual theories

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The elliptic gamma function and \(\text{SL}(3,\mathbb Z)\ltimes\mathbb Z^3\).

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The importance of the Selberg integral

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Shintani-Barnes zeta and gamma functions

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S-duality and 2d topological QFT

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The star-triangle relation, lens partition function, and hypergeometric sum/integrals

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Duality walls and defects in 5d \( \mathcal{N}=1 \) theories

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A generalization of Selberg’s beta integral

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Some <i>q</i>-Beta Integrals on $SU(n)$ and $Sp(n)$ That Generalize the Askey–Wilson and Nasrallah–Rahman Integrals

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Quantum KZ equation with |<i>q</i>| = 1 and correlation functions of the<b><i>XXZ</i></b>model in the gapless regime

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A new solution of the star–triangle relation

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New solutions of the star–triangle relation with discrete and continuous spin variables

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Elliptic hypergeometric sum/integral transformations and supersymmetric lens index

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An integral Representation of a <sub>10</sub><i>ϕ</i><sub>9</sub> and Continuous Bi-Orthogonal <sub>10</sub><i>ϕ</i><sub>9</sub> Rational Functions

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Limits of elliptic hypergeometric integrals

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Transformations of elliptic hypergeometric integrals

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Determinants of elliptic hypergeometric integrals

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The supersymmetric index in four dimensions

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Global properties of supersymmetric theories and the lens space

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First order analytic difference equations and integrable quantum systems

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On the elliptic beta function

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Theta hypergeometric integrals

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A Bailey tree for integrals

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Short proofs of the elliptic beta integrals

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Elliptic hypergeometric functions and Calogero-Sutherland-type models

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Essays on the theory of elliptic hypergeometric functions

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Elliptic hypergeometry of supersymmetric dualities

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Elliptic hypergeometric integrals and 't Hooft anomaly matching conditions

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Elliptic hypergeometry of supersymmetric dualities. II: Orthogonal groups, knots, and vortices

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Inversions of integral operators and elliptic beta integrals on root systems

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Spectral transformation chains and some new biorthogonal rational functions

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Identifiers

zbMATH Open document ID

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10.1016/j.aim.2018.04.014

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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:1647398

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