Asymptotics and sign patterns for coefficients in expansions of Habiro elements

Goswami, Ankush; Jha, Abhash Kumar; Kim, Byungchan; Osburn, Robert

dc.contributor.author	Goswami, Ankush
dc.contributor.author	Jha, Abhash Kumar
dc.contributor.author	Kim, Byungchan
dc.contributor.author	Osburn, Robert
dc.date.accessioned	2024-04-01T06:32:00Z
dc.date.available	2024-04-01T06:32:00Z
dc.date.issued	2023-07-10
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/3042
dc.description	This paper published with affiliation IIT (BHU), Varanasi in open access mode.	en_US
dc.description.abstract	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.	en_US
dc.description.sponsorship	Max-Planck-Institut für Mathematik Enterprise Ireland- MTR/2022/000659 Ministry of Science, ICT and Future Planning- NRF-2019R1F1A1043415 National Research Foundation of Korea	en_US
dc.language.iso	en	en_US
dc.publisher	Springer Science and Business Media Deutschland GmbH	en_US
dc.relation.ispartofseries	Mathematische Zeitschrift;304
dc.subject	Asymptotics;	en_US
dc.subject	Generalized Fishburn numbers;	en_US
dc.subject	Habiro ring;	en_US
dc.subject	Strange identities	en_US
dc.title	Asymptotics and sign patterns for coefficients in expansions of Habiro elements	en_US
dc.type	Article	en_US