On the refined lecture hall theorem

Ae Ja Yee

doi:10.1016/S0012-365X(01)00352-1

On the refined lecture hall theorem

Ae Ja Yee

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

A lecture hall partition of length n is a sequence (λ₁,lambda;₂,..,λ_n of nonnegative integers satisfying 0 ≤ λ₁/1 ≤ ⋯≤λ_n/n. ousquet-Mélou and K. Eriksson showed that there is an one to one correspondence between the set of all lecture hall partitions of length n and the set of all partitions with distinct parts between 1 and n, and possibly multiple parts between n + 1 and In. In this paper, we construct a bijection which is an identity mapping in the limiting case.

Original language	English (US)
Pages (from-to)	293-298
Number of pages	6
Journal	Discrete Mathematics
Volume	248
Issue number	1-3
DOIs	https://doi.org/10.1016/S0012-365X(01)00352-1
State	Published - Apr 6 2002

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/S0012-365X(01)00352-1

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AB - A lecture hall partition of length n is a sequence (λ1,lambda;2,..,λn of nonnegative integers satisfying 0 ≤ λ1/1 ≤ ⋯≤λn/n. ousquet-Mélou and K. Eriksson showed that there is an one to one correspondence between the set of all lecture hall partitions of length n and the set of all partitions with distinct parts between 1 and n, and possibly multiple parts between n + 1 and In. In this paper, we construct a bijection which is an identity mapping in the limiting case.

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On the refined lecture hall theorem

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