报 告 题 目：Mock theta functions and Hecke-type double sums

主 讲 人：谷 珊 珊

单 位：南开大学

时 间：5月29日9:00

腾 讯 ID：459-341-970

摘 要：

Mock theta functions were first introduced by Ramanujan in his last letter to Hardy. Historically, mock theta functions can be represented by Eulerian forms, Hecke-type double sums, Appell-Lerch sums, and Fourier coefficients of meromorphicJocobi forms. In this talk, we mainly focus on Hecke-type double sums. Especially, with the aid of some q-series identities, we establish the Hecke-type double sums for some new mock theta functions.

简 介：

谷珊珊, 南开大学组合数学中心教授、博士生导师。国家优青基金获得者。主要研究方向为q-级数和计数组合学，q-级数恒等式的证明与推广、分拆同余以及仿theta函数等，主要结果发表在Adv. Math.，Math. Comp.，Adv.Appl. Math.，JCTA等期刊。先后主持多项国家自然科学基金。现任中国运筹学会图论组合分会理事和天津市工业与应用数学学会理事。