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Bibliographic Details
Main Authors:	Goswami, Ankush, Jha, Abhash Kumar, Kim, Byungchan, Osburn, Robert
Format:	Preprint
Published:	2022
Subjects:	Number Theory Combinatorics 05A16, 13B35, 57K16, 11B83
Online Access:	https://arxiv.org/abs/2204.02628
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Table of Contents:

We 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.