Amdeberhan, Tewodros and Zeilberger, Doron - "Trivializing'' generalizations of some Izergin-Korepin-type determinants

dmtcs:402 - Discrete Mathematics & Theoretical Computer Science, January 1, 2007, Vol. 9 no. 1
"Trivializing'' generalizations of some Izergin-Korepin-type determinants

Authors: Amdeberhan, Tewodros and Zeilberger, Doron

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.


Volume: Vol. 9 no. 1
Section: Combinatorics
Published on: January 1, 2007
Submitted on: March 26, 2015
Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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