4 problems

0 votes0 replies0 views
The conjecture on the order of Gaudin Q-functions at the origin
Let $L^G$ be obtained from a solution of the Gaudin Bethe Ansatz equations with $d_0-d_1=r$ , and let $Q_\pm(\lambda)$ be the associated $Q$ -functions. Order conjecture. The functio…
Conjecturesolvedode-im-correspondence q-functionsarXiv posted 2 days ago
0 votes0 replies0 views
Masoero–Mukhin–Raimondo conjecture on lambda-oper and BLZ Q-functions
Let $L^G$ be a Schrödinger operator obtained from a solution of the $chat{\mathfrak{sl}}_2$ Gaudin Bethe Ansatz equations, and let $Q_\pm(\lambda)$ be its connection coefficients,…
Conjecturesolvedode-im-correspondence q-functions quantum-kdvarXiv posted 2 days ago
0 votes0 replies1 view
Mizukawa–Nakajima–Yamada conjecture on 2-reduced Schur functions and Schur's Q-functions
Mizukawa–Nakajima–Yamada's conjecture. The following equalities hold:
Conjectureopenq-functions schur-functions symmetric-functionsarXiv posted 2 days ago
0 votes0 replies0 views
Completeness and faithfulness conjecture for analytic Q-functions
Consider Q-functions for rational, trigonometric, and elliptic spin chains satisfying the proposed ansatz for their analytic structure, together with the QQ-relations. Completeness…
Conjectureopenbethe-ansatz integrable-systems q-functionsarXiv posted 2 days ago

The conjecture on the order of Gaudin Q-functions at the origin