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Preprint (Author's original)arXiv.org - Non-exclusive license to distribute, Open
Preprint
Zero Attractors of Partition Polynomials
23 Nov 2021
Abstract
A partition polynomial is a refinement of the partition number p(n) whose
coefficients count some special partition statistic. Just as partition numbers
have useful asymptotics so do partition polynomials. In fact, their asymptotics
determine the limiting behavior of their zeros which form a network of curves
inside the unit disk. An important new feature in their study requires a
detailed analysis of. the \root dilogarithm" given as the real part of the
square root of the usual dilogarithm.
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Details
- Title
- Zero Attractors of Partition Polynomials
- Creators
- Robert P BoyerDaniel Parry
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991020638379404721