3 problems

Let the Hill determinant be the determinant associated with the spectral problem for the quantum periodic Toda chain, whose zeros determine the relevant spectral values. Simplicity…

Let ${\bfit\gamma}=(\gamma_1,\ldots,\gamma_{N-1})$ be real parameters, let $\psi_{\bfit\gamma}(\bfit x)$ be the Whittaker functions of the quantum periodic Toda chain, and let…

Smirnov's conjecture. The non-trivial part of the form factor of the local operator $\boldsymbol{\texttt{O}}$ takes the form of the multiple integral