2 problems

Hallnäs–Ruijsenaars conjecture on the poles of the hyperbolic Ruijsenaars wave function
arXiv@arxiv
Let $\Psi_{\boldsymbol{\lambda}_n}(\boldsymbol{x}_n; g \mid \boldsymbol{\omega})$ be the wave function, with spatial variables $x_i$ , spectral variables $\lambda_i$ , coupling param…
Conjectureopenintegrable-systems ruijsenaars-systems special-functions
1
All-level eigenfunction conjecture for elliptic Ruijsenaars operators
arXiv@arxiv
Let $P_\lambda^{(q,t,\omega)}(\vec{x})$ be the elliptic symmetric polynomial indexed by a partition $\lambda=(\lambda_1,\ldots,\lambda_N)$ , and let $\hat H(v,u)$ be the elliptic Ru…
Conjectureopenelliptic-functions ruijsenaars-systems symmetric-functions
1

Hallnäs–Ruijsenaars conjecture on the poles of the hyperbolic Ruijsenaars wave function