报告人：夏先伟（苏州科技大学）
报告时间：5.17 （周六）上午：10：00-11：00
报告地点：天元讲堂
报告摘要：In their study of the truncated sums of the classical theta functions, Andrews-Merca and Guo-Zeng posed a conjecture on truncated sums of a special case of the Jacobi triple product identity which was confirmed independently by Mao and Yee. In 2016, Chan, Ho and Mao examined the truncated series arising from two consequences of the quintuple product identity. In this talk, we establish an explicit series form with nonnegative coefficients on a new truncated sum of a special cases of the Jacobi triple product identity by taking different truncated series which is stronger than the conjecture due to Andrews-Merca and Guo-Zeng. As a corollary of our results, we obtain a new truncated sums of Jacibic identity which implies another conjecture given by Guo and Zeng. In addition, we determine the signs of coefficients of new truncated sums of two well-known identities derived from the quintuple product identity which can be considered as the companion results of a theorem proved by Chan, Ho and Mao
报告人简介:夏先伟教授任职苏州科技大学永利皇宫-永利皇宫赌场-永利皇宫app ，博士生导师，江苏省杰青获得者.2010年博士毕业于南开大学组合数学中心，
研究整数分拆、特殊函数.在Math. Comp., JCTA, JNT,
Adv. Appl. Math.等期刊上发表学术论文多篇.
主持江苏省杰出青年科学基金和多项国家自然科学基金项目.
邀请人：马欣荣