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  1. Home > Articles & Issues >
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  3. Elliptic rook and fi ...
Conference paper

Elliptic rook and file numbers

Michael J. Schlosser ORCID (1), Meesue Yoo (1)
(1) Fakultät für Mathematik [Wien]
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Imported on
July 4, 2016
Published on
April 22, 2020
Last modified on
March 31, 2025
Volume
DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
DOI
10.46298/dmtcs.6362
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https://about.hal.science/hal-authorisation-v1
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Elliptic rook and file numbers

Michael J. Schlosser ORCID (1), Meesue Yoo (1)
(1) Fakultät für Mathematik [Wien]
Abstract
In this work, we construct elliptic analogues of the rook numbers and file numbers by attaching elliptic weights to the cells in a board. We show that our elliptic rook and file numbers satisfy elliptic extensions of corre- sponding factorization theorems which in the classical case were established by Goldman, Joichi and White and by Garsia and Remmel in the file number case. This factorization theorem can be used to define elliptic analogues of various kinds of Stirling numbers of the first and second kind as well as Abel numbers. We also give analogous results for matchings of graphs, elliptically extending the result of Haglund and Remmel.
Keywords
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
  • Combinatorics
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