XXZ-type Bethe ansatz equations and quasi-polynomials
  We study solutions of the Bethe ansatz equation for the XXZ-type integrable model associated with the Lie algebra sl_N. We give a correspondence between solutions of the Bethe ansatz equations and collections of quasi-polynomials. This extends the results of E.Mukhin and A.Varchenko for the XXX-type model and the trigonometric Gaudin model. 
J.R.Li, V.Tarasov
math.QA math-ph math.MP