On the refined 3-enumeration of alternating sign matrices

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dc.creatorColomo, F.
dc.creatorPronko, A. G.
dc.date2004-04-19
dc.date2004-11-25
dc.date.accessioned2026-07-07T06:27:20Z
dc.date.available2026-07-07T06:27:20Z
dc.descriptionAn explicit expression for the numbers $A(n,r;3)$ describing the refined 3-enumeration of alternating sign matrices is given. The derivation is based on the recent results of Stroganov for the corresponding generating function. As a result, $A(n,r;3)$'s are represented as 1-fold sums which can also be written in terms of terminating ${}_4F_3$ series of argument 1/4.
dc.descriptionSome comments and references added. To appear in the David Robbins memorial issue of Advances in Applied Mathematics
dc.identifierhttps://arxiv.org/abs/math-ph/0404045
dc.identifierhttp://arxiv.org/abs/math-ph/0404045
dc.identifierAdv.Appl.Math. 34 (2005) 798-811
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97389
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectCombinatorics
dc.titleOn the refined 3-enumeration of alternating sign matrices
dc.typetext

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