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Published, Version of Record (VoR)Open Access (License Unspecified), Open
Journal article
PHASE CALCULATIONS FOR PLANAR PARTITION POLYNOMIALS
The Rocky Mountain journal of mathematics, v 44(1), pp 1-18
01 Jan 2014
Abstract
In the study of the asymptotic behavior of polynomials from partition theory, the determination of their leading term asymptotics inside the unit disk depends on a sequence of sets derived from comparing certain complex-valued functions constructed from polylogarithms, functions defined as
Li-s(z) = (infinity)Sigma(n=1) z(n)/n(s).
These sets we call phases. This paper applies complex analytic techniques to describe the geometry of these sets in the complex plane.
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Details
- Title
- PHASE CALCULATIONS FOR PLANAR PARTITION POLYNOMIALS
- Creators
- Robert P. Boyer - Drexel UniversityDaniel T. Parry - Drexel Univ, Dept Math, Philadelphia, PA 19104 USA
- Publication Details
- The Rocky Mountain journal of mathematics, v 44(1), pp 1-18
- Publisher
- Rocky Mt Math Consortium
- Number of pages
- 18
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:000338555500001
- Scopus ID
- 2-s2.0-84903794401
- Other Identifier
- 991019168015304721
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- Web of Science research areas
- Mathematics