j9国际集团

从Ramanujan的三个恒等式启程构建新的等式

2023.10.16

投稿:龚惠英部门:理学院浏览次数:

活动信息

汇报标题(中英文) (Title):从Ramanujan的三个恒等式启程构建新的等式(Construct new identities from Ramanujan’s three identities)

汇报人 (Speaker):洪楠坤 博士 (安徽大学)

汇报功夫(Time):2023年10月14日 16:00

汇报地址 (Place):校本部A123

约请人(Inviter):陈旦旦

主办部门:理学院数学系

汇报提要: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.

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