讲座题目：Discrete Fourier transform and theta function identities

摘要：The discrete Fourier transform (DFT) converts a finite sequence of equally spaced samples of a function into a same-length sequence of equally-spaced samples of the discrete-time Fourier transform. The DFT is the most important discrete transform, and is often used to perform Fourier analysis in many practical applications, such as in digital signal and in image processing. The DFT is also used to solve partial differential equations, and to perform other operations such as convolutions or multiplying large integers. In this talk I will discuss some amazing connections between Fourier transform and theta function identities.

讲座时间：2021年12月16日（周四）13:15-14:15

讲座地点：腾讯会议ID: 661950305

主讲人：刘治国 教授（华东师范大学）

主讲人简介：刘治国，华东师范大学教授，博士生导师，主要研究领域为椭圆函数论、基本超几何级数理论和数论。刘治国教授不仅对天才数学家Ramanujan遗留的诸多问题有深入广泛的研究并取得了令人瞩目的研究成果，而且在国际上率先提出了q-偏微分方程的概念并将其应用到q-级数的研究中，开辟了该领域新的研究方向。 美国科学院院士George Andrews教授盛赞他“发展了令人称奇的数学方法”。 美国数学会会士Bruce Berndt教授及美国数学会会士Mourad E. H. Ismail教授曾公开撰文对刘治国教授的研究工作给予高度评价。刘治国教授已在 Adv. Math.、Trans. Amer. Math. Soc.、J. Combin. Theory Ser. A、 Pacific J. Math.、Bull. Lond. Math. Soc.、Ramanujan J.、J. Number Theory 等数学刊物上发表研究论文70多篇，相关论文被引用多达1400余次。