Zeros of Hook Polynomials and Related Questions

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Authors: Bridges, Walter, Craig, William, Folsom, Amanda, Rolen, Larry
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/213187
• 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

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...