Smith normal form of a multivariate matrix associated with partitions

Consideration of a question of E. R. Berlekamp led Carlitz, Roselle, and Scoville to give a combinatorial interpretation of the entries of certain matrices of determinant 1 in terms of lattice paths. Here we generalize this result by refining the matrix entries to be multivariate polynomials, and by...

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Bibliographic Details
Main Authors: Bessenrodt, Christine, Stanley, Richard P
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer US 2016
Online Access:http://hdl.handle.net/1721.1/105452
https://orcid.org/0000-0003-3123-8241