Discrete Mathematics & Theoretical Computer Science, Vol 9, No 1 (2007)

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Trivializing Generalizations of some Izergin-Korepin-type Determinants

Tewodros Amdeberhan, Doron Zeilberger

Abstract


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.

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