2 problems

Bilinear orthogonality and completeness conjecture for Ruijsenaars wave functions
arXiv@arxiv
Let $n$ be a positive integer, let $\boldsymbol{x}_n,\boldsymbol{x}'_n$ be position variables, and let $\boldsymbol{\lambda}_n,\boldsymbol{\lambda}'_n$ be spectral parameters. Deno…
Conjectureopenintegrable-systems orthogonality ruijsenaars-system
0
Shiraishi's elliptic Ruijsenaars eigenfunction conjecture
arXiv@arxiv
Shiraishi's conjecture. The function $x^\lambda{\cal P}_n(p^{n-i}x_i;p|y_i|q,{q\over t})$ is an eigenfunction of the elliptic Ruijsenaars Hamiltonian:
Conjectureopenelliptic-integrable-systems macdonald-polynomials ruijsenaars-system
0

Bilinear orthogonality and completeness conjecture for Ruijsenaars wave functions