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

dmtcs:402 - Discrete Mathematics & Theoretical Computer Science, January 1, 2007, Vol. 9 no. 1 - https://doi.org/10.46298/dmtcs.402
"Trivializing'' generalizations of some Izergin-Korepin-type determinantsArticle

Authors: Tewodros Amdeberhan 1; Doron Zeilberger 2

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

Combinatorics

[en]
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.

https://doi.org/10.46298/dmtcs.402
Source: HAL:hal-00966504v1
Volume: Vol. 9 no. 1
Section: Combinatorics
Published on: January 1, 2007
Imported on: March 26, 2015
Keywords: [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]

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