Zeros of Hook Polynomials and Related Questions
We study the zero set of polynomials built from partition statistics, complementing earlier work in this direction by Boyer, Goh, Parry, and others. In particular, addressing a question posed by Males, two of the authors prove asymptotics for the values of -hook polynomials away from an annulus and...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2025 |
| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2025
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/213187 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Zeros of Hook Polynomials and Related Questions. Walter Bridges, William Craig, Amanda Folsom and Larry Rolen. SIGMA 21 (2025), 026, 14 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862542766854111232 |
|---|---|
| author | Bridges, Walter Craig, William Folsom, Amanda Rolen, Larry |
| author_facet | Bridges, Walter Craig, William Folsom, Amanda Rolen, Larry |
| citation_txt | Zeros of Hook Polynomials and Related Questions. Walter Bridges, William Craig, Amanda Folsom and Larry Rolen. SIGMA 21 (2025), 026, 14 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We study the zero set of polynomials built from partition statistics, complementing earlier work in this direction by Boyer, Goh, Parry, and others. In particular, addressing a question posed by Males, two of the authors prove asymptotics for the values of -hook polynomials away from an annulus and at isolated zeros of a theta function. We also discuss some open problems and present data on other polynomial families, including those associated with deformations of Rogers-Ramanujan functions.
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| first_indexed | 2026-03-21T11:41:22Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-213187 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T11:41:22Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Bridges, Walter Craig, William Folsom, Amanda Rolen, Larry 2026-02-16T16:35:42Z 2025 Zeros of Hook Polynomials and Related Questions. Walter Bridges, William Craig, Amanda Folsom and Larry Rolen. SIGMA 21 (2025), 026, 14 pages 1815-0659 2020 Mathematics Subject Classification: 05A17; 30C15; 05A15; 11P82; 11F27 arXiv:2408.16902 https://nasplib.isofts.kiev.ua/handle/123456789/213187 https://doi.org/10.3842/SIGMA.2025.026 We study the zero set of polynomials built from partition statistics, complementing earlier work in this direction by Boyer, Goh, Parry, and others. In particular, addressing a question posed by Males, two of the authors prove asymptotics for the values of -hook polynomials away from an annulus and at isolated zeros of a theta function. We also discuss some open problems and present data on other polynomial families, including those associated with deformations of Rogers-Ramanujan functions. We thank the anonymous referees for providing useful feedback, which improved the exposition. We also thank Joshua Males for helpful discussions regarding the computation of the zeros of hook polynomials. The views expressed in this article are those of the authors and do not reflect the official policy or position of the U.S. Naval Academy, Department of the Navy, the Department of Defense, or the U.S. Government. The third author is supported by National Science Foundation Grant DMS-2200728. The fourth author is supported by a grant from the Simons Foundation (853830, LR). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Zeros of Hook Polynomials and Related Questions Article published earlier |
| spellingShingle | Zeros of Hook Polynomials and Related Questions Bridges, Walter Craig, William Folsom, Amanda Rolen, Larry |
| title | Zeros of Hook Polynomials and Related Questions |
| title_full | Zeros of Hook Polynomials and Related Questions |
| title_fullStr | Zeros of Hook Polynomials and Related Questions |
| title_full_unstemmed | Zeros of Hook Polynomials and Related Questions |
| title_short | Zeros of Hook Polynomials and Related Questions |
| title_sort | zeros of hook polynomials and related questions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/213187 |
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