"Trivializing'' generalizations of some Izergin-Korepin-type determinants

Tewodros Amdeberhan (1) , Doron Zeilberger (2)

1 Department of Mathematics [Tulane, New Orleans]
2 Department of Mathematics - Rutgers School of Arts and Sciences

We generalize (and hence trivialize and routinize) numerous explicit evaluations of determinants and pfaffians due to Kuperberg, as well as a determinant of Tsuchiya. The level of generality of our statements render their proofs easy and routine, by using Dodgson Condensation and/or Krattenthaler's factor exhaustion method.

Domaines: Mathématique discrète [cs.DM]

Tewodros Amdeberhan, Doron Zeilberger. "Trivializing'' generalizations of some Izergin-Korepin-type determinants. Discrete Mathematics and Theoretical Computer Science, 2007, Vol. 9 no. 1 (1), pp.203--206. ⟨10.46298/dmtcs.402⟩. ⟨hal-00966504⟩