| dc.contributor.author |
Goswami, Ankush |
|
| dc.contributor.author |
Jha, Abhash Kumar |
|
| dc.contributor.author |
Kim, Byungchan |
|
| dc.contributor.author |
Osburn, Robert |
|
| dc.date.accessioned |
2022-04-20T13:46:36Z |
|
| dc.date.available |
2022-04-20T13:46:36Z |
|
| dc.date.issued |
2022-04 |
|
| dc.identifier.citation |
Goswami, Ankush; Jha, Abhash Kumar; Kim, Byungchan and Osburn, Robert, "Asymptotics and sign patterns for coefficients in expansions of Habiro elements", arXiv, Cornell University Library, DOI: arXiv:2204.02628v1, Apr. 2022. |
en_US |
| dc.identifier.issn |
|
|
| dc.identifier.uri |
http://arxiv.org/abs/2204.02628v1 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/7674 |
|
| 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. |
|
| dc.description.statementofresponsibility |
by Ankush Goswami, Abhash Kumar Jha, Byungchan Kim and Robert Osburn |
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| dc.format.extent |
|
|
| dc.language.iso |
en_US |
en_US |
| dc.publisher |
Cornell University Library |
en_US |
| dc.subject |
Asymptotics |
en_US |
| dc.subject |
Habiro ring |
en_US |
| dc.subject |
Strange identities |
en_US |
| dc.subject |
Generalized fishburn numbers |
en_US |
| dc.title |
Asymptotics and sign patterns for coefficients in expansions of Habiro elements |
en_US |
| dc.type |
Pre-Print |
en_US |
| dc.relation.journal |
arXiv |
|