从Ramanujan的三个恒等式出发构建新的等式

2023.10.16

投稿:龚惠英部门:理学院浏览次数:

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报告题目(中英文) (Title):从Ramanujan的三个恒等式出发构建新的等式(Construct new identities from Ramanujan’s three identities)

报告人 (Speaker):洪楠坤 博士 (安徽大学)

报告时间(Time):2023年10月14日 16:00

报告地点 (Place):校本部A123

邀请人(Inviter):陈旦旦

主办部门:理学院数学系

报告摘要:Inspired by a work of G. Andrews et al., we prove a new mock theta function identity related to the partition rank modulo 3 and 9. We also obtain the 3-dissection of the rank generating function modulo 9. Basing on three identities of Ramanujan, we get new identities and provide new possible way to prove these three identities.

Part of this talk is based on a work joint with Song Heng Chan, Jerry, Jeremy Lovejoy.