主講人：王博學(xué) 武漢大學(xué)

時(shí)間：2025年6月7日13：00

地點(diǎn)：徐匯校區(qū)三號(hào)樓332室 

舉辦單位：數(shù)理學(xué)院

主講人介紹：王博學(xué)，武漢大學(xué)博士生，師從王六權(quán)教授，并入選武漢大學(xué)數(shù)學(xué)學(xué)院拔尖人才培養(yǎng)計(jì)劃。其主要研究領(lǐng)域?yàn)閝-級(jí)數(shù)與模形式，特別在Rogers-Ramanujan型恒等式的研究中取得一定進(jìn)展，其研究成果已發(fā)表于《Advances in Mathematics》，《Transactions of the American Mathematical Society》等期刊。

內(nèi)容介紹：Mizuno providied 15 examples of generalized rank three Nahm sums with symmetrizer diag(1,2,2) which are conjecturally modular. Using the theory of Bailey pairs and some q-series techniques, we establish a number of triple sum Rogers--Ramanujan type identities. These identities confirm the modularity of all of Mizuno＇s examples except for two non-modular cases. We show that the two exceptional cases of Nahm sums are sums of modular forms of weights 0 and 1. We also prove Mizuno＇s conjectural modular transformation formulas for two vector-valued functions consisting of Nahm sums with symmetrizers diag(1,1,2) and diag(1,2,2).