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...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2025 |
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2025
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/213187 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Zeros of Hook Polynomials and Related Questions. Walter Bridges, William Craig, Amanda Folsom and Larry Rolen. SIGMA 21 (2025), 026, 14 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | 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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| ISSN: | 1815-0659 |