2 problems

Let $f^{\widehat{\mathfrak{gl}}_N}$ denote the non-stationary Ruijsenaars functions, and let $\kappa$ be their parameter. In the limit $\kappa\rightarrow 1$, after a suitable norma…

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: