Author:
Goswami Ankush,Jha Abhash Kumar,Kim Byungchan,Osburn Robert
Abstract
AbstractWe prove asymptotics and study sign patterns for coefficients in expansions of elements in the Habiro ring which satisfy a strange identity. As an application, we prove asymptotics and discuss positivity for the generalized Fishburn numbers which arise from the Kontsevich–Zagier series associated to the colored Jones polynomial for a family of torus knots. This extends Zagier’s result on asymptotics for the Fishburn numbers.
Funder
University College Dublin
Publisher
Springer Science and Business Media LLC
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