On solutions of Bethe equations for the $XXZ$ model
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 17, Tome 291 (2002), pp. 245-250
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It is shown that solutions of the Bethe ansatz equations for the inhomogeneous arbitrary spin $XXX$ or $XXZ$ model satisfy certain identites which generalize those, recently obtained by K. Fabricius and B. M. McCoy, for solutions of the Bethe ansatz equations for the six-vertex model. Even in the last case, the given proof is simpler than the original one.