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Published, Version of Record (VoR)Open Access (License Unspecified), Open
Journal article
On the Zeros of Plane Partition Polynomials
The Electronic journal of combinatorics, v 18(2)
02 Jan 2012
Abstract
Let PL(n) be the number of all plane partitions of n while pp(k)(n) be the number of plane partitions of n whose trace is exactly k. We study the zeros of polynomial versions Q(n)(x) of plane partitions where Q(n)(x) = Sigma pp(k)(n)x(k). Based on the asymptotics we have developed for Q(n)(x) and computational evidence, we determine the limiting behavior of the zeros of Q(n)(x) as n -> infinity. The distribution of the zeros has a two-scale behavior which has order n(2/3) inside the unit disk while has order n on the unit circle.
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Details
- Title
- On the Zeros of Plane Partition Polynomials
- Creators
- Robert P. Boyer - Drexel UniversityDaniel T. Parry - Drexel University
- Publication Details
- The Electronic journal of combinatorics, v 18(2)
- Publisher
- Electronic Journal Of Combinatorics
- Number of pages
- 26
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:000299816000002
- Scopus ID
- 2-s2.0-84856141854
- Other Identifier
- 991019170150404721
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Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics
- Mathematics, Applied