Conference proceeding
Polynomials associated with partitions: Asymptotics and zeros
SPECIAL FUNCTIONS AND ORTHOGONAL POLYNOMIALS, Vol.471
Contemporary Mathematics
01 Jan 2008
Abstract
Let p(n) be the number of partitions of an integer n. For each of the partition statistics of counting their parts, ranks, or cranks, there is a natural family of integer polynomials. We investigate their asymptotics, and the limiting behavior of their zeros as sets and densities. In each case, the limiting distribution involves Lebesgue measure on the unit circle.
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Details
- Title
- Polynomials associated with partitions: Asymptotics and zeros
- Creators
- Robert P. Boyer - Drexel Univ, Dept Math, Philadelphia, PA 19104 USAWilliam M. Y. Goh - Drexel University
- Contributors
- D Dominici (Editor)R Maier (Editor)
- Publication Details
- SPECIAL FUNCTIONS AND ORTHOGONAL POLYNOMIALS, Vol.471
- Series
- Contemporary Mathematics
- Publisher
- Amer Mathematical Soc
- Number of pages
- 2
- Resource Type
- Conference proceeding
- Language
- English
- Academic Unit
- [Retired Faculty]
- Identifiers
- 991019170124204721
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