Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee
We show how Bailey pairs can be used to give a simple proof of an identity of Chern, Li, Stanton, Xue, and Yee. The same method yields several related identities as well as false theta companions.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2025 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2025
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/213191 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee. Shashank Kanade and Jeremy Lovejoy. SIGMA 21 (2025), 021, 22 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862595069475815424 |
|---|---|
| author | Kanade, Shashank Lovejoy, Jeremy |
| author_facet | Kanade, Shashank Lovejoy, Jeremy |
| citation_txt | Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee. Shashank Kanade and Jeremy Lovejoy. SIGMA 21 (2025), 021, 22 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We show how Bailey pairs can be used to give a simple proof of an identity of Chern, Li, Stanton, Xue, and Yee. The same method yields several related identities as well as false theta companions.
|
| first_indexed | 2026-03-21T11:59:54Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-213191 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T11:59:54Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Kanade, Shashank Lovejoy, Jeremy 2026-02-16T16:37:00Z 2025 Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee. Shashank Kanade and Jeremy Lovejoy. SIGMA 21 (2025), 021, 22 pages 1815-0659 2020 Mathematics Subject Classification: 33D15 arXiv:2410.15408 https://nasplib.isofts.kiev.ua/handle/123456789/213191 https://doi.org/10.3842/SIGMA.2025.021 We show how Bailey pairs can be used to give a simple proof of an identity of Chern, Li, Stanton, Xue, and Yee. The same method yields several related identities as well as false theta companions. We thank A.J. Yee for her talk at the International Conference on Modular Forms and q-Series at the University of Cologne in March 2024. We also thank her for facilitating this collaboration. SK gratefully acknowledges the support of the Simons Foundation’s Travel Support for Mathematicians #636937 and MPS-TSM-00007726. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee Article published earlier |
| spellingShingle | Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee Kanade, Shashank Lovejoy, Jeremy |
| title | Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee |
| title_full | Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee |
| title_fullStr | Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee |
| title_full_unstemmed | Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee |
| title_short | Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee |
| title_sort | bailey pairs and an identity of chern-li-stanton-xue-yee |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/213191 |
| work_keys_str_mv | AT kanadeshashank baileypairsandanidentityofchernlistantonxueyee AT lovejoyjeremy baileypairsandanidentityofchernlistantonxueyee |