报告题目：Asymptotic formulas for the Fourier coefficients of infinite q-products  

报告人： 周年红，广西师范大学

时间：2025年10月15日（星期三）下午 15：00-16:00

腾讯会议ID:  229-326-892

摘要：We use the circle method to derive asymptotic expansions for weighted partition numbers satisfying certain conditions. As applications, we partially settle conjectures by Berkovich and Garvan and by Seo and Yee on the nonnegativity of coefficients in specific infinite products, as well as a conjecture by Chan and Yesilyurt on the periodicity of coefficient signs in a non-theta product. This is joint work with Michael Schlosser.

个人简介：周年红，华东师范大学博士，奥地利维也纳大学博士后，目前在广西师范大学工作。主要研究方向为组合数学与数论，聚焦于整数分拆中的渐近分布、正性问题以及单峰性问题。相关成果发表在《J. Combin. Theory Ser. A》《European J. Combin.》《Proc. Amer. Math. Soc.》《J. Number Theory》《Res. Math. Sci.》等国际期刊上。现主持国家自然科学基金青年项目1项。