3 problems

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The association conjecture for elliptic beta integrals and Calogero–Sutherland models
Let multiple elliptic beta integrals be integral evaluations associated with root systems, and let Calogero–Sutherland type models be the corresponding integrable Hamiltonian syste…
Conjectureopencalogero-sutherland-models elliptic-hypergeometric-functions integrable-systemsarXiv posted 2 days ago
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The $E_7$ symmetry lifting conjecture for elliptic hypergeometric Hamiltonians
Let $V(\underline{t})$ be the elliptic hypergeometric function, and let $\mathcal H$ be the unconstrained Hamiltonian associated with the corresponding elliptic hypergeometric mode…
Conjectureopenelliptic-hypergeometric-functions integrable-systems painleve-equationsarXiv posted 2 days ago
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Existence conjecture for the full family of difference operators
Let $n$ be the rank, let $v$ be a parameter, and let ${\cal D}(v)$ denote the difference operator already constructed in the surrounding text for…
Conjectureopendifference-operators elliptic-hypergeometric-functionsarXiv posted 2 days ago

The association conjecture for elliptic beta integrals and Calogero–Sutherland models