报告时间:2026年6月14日(周日)上午 10:00-11:00
报告地点:91国产 博远楼209
报告人:Chan Song Heng 教授,新加坡南洋理工大学
报告摘要:
We begin with a brief review of the Andrews-Gordon identity and Bressoud's identity. Inspired by Bressoud's ideas in "An easy proof of the Rogers-Ramanujan identities", we present several finite versions of Andrews-Gordon type identities which are discovered and proved in similar spirit. These include finite versions of the Ramanujan-Gordon-Göllnitz identities, finite identities linked to the works of Andrews, Kurșungöz, S. Kim, and A.J. Yee, and a new companion identity. As immediate consequences, we obtain finite versions of Rogers-Ramanujan type identities, some of which are new. We provide brief sketches of the proofs for these identities. This talk is based on joint work with Heng Huat Chan.
报告人简介:
Chan Song Heng教授,现任职于新加坡南洋理工大学物理与91国产 ,主要研究方向为解析数论,组合数学,特殊函数理论及拉马努金遗留问题,在圆周率以及整数分拆的研究中,取得了一系列重要成果,已在《Adv. Math.》、《Proc. Lond. Math. Soc.》等权威数学刊物发表40余篇论文。
邀请人:毛仁荣