时    间：5月21日9:00-12:00

地    点：腾讯 ID：867-849-824

主办单位：数学与统计学院

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报告1：Proofs of some conjectures of Chan-Mao-Osburn onBeck's partition statistics，夏先伟 苏州科技大学教授;

报告摘要：Recently, George Beck introduce two partition statistics NT(m,j,n) and M_{\omega}(m,j,n),which denote the total number of parts in the partition of n with rank congruent to m modulo j and the total number of ones in the partition of n with crank congruent to m modulo j, respectively. Andrews proved a congruence on NT(m,5,n)which was conjectured by Beck. Very recently, Chan, Mao and Osburn established a number of Andrews-Beck type congruences and posed several conjectures involving NT(m,j,n) and M_{\omega}(m,j,n).Some of those conjectures were proved by Chern and Mao. In this paper, we confirm the remaining three conjectures of Chan-Mao-Osburnand three conjecture due to Mao. We also present two new conjectures on M_{\omega}(m,j,n) and NT(m,j,n). This work was jointed with Jin, Liu and Mao.

报告2：New proofs of some double sum Rogers-Ramanujan type identities，王六权，武汉大学副教授。

报告摘要：Recently, Rosengren utilized an integral method to prove a number of conjectural identities found by Kanade and Russell. Using this integral method, we give new proofs to some double sum identities of Rogers-Ramanujan type. These identities were earlier proved by approaches such as combinatorial arguments or by using q-difference equations. Our proofs are based on streamlined calculations, which relate these double sum identities to some known Rogers-Ramanujan type identities with single sums. Moreover, we prove a conjectural identity of Andrews and Uncu which was earlier confirmed by Chern.

讲人简介：

夏先伟，教授，博士生导师，江苏省杰青获得者。2010年博士毕业于南开大学，师从陈永川院士，主要研究组合数学、特殊函数与整数分拆，在包括Math. Comput., Proc. Edinb. Math. Soc., Adv. Appl. Math., Pacific J. Math., European J. Combin., Acta Arith., J. Number Theory等期刊上发表了多篇篇。主持两项国家自然科学基金面上项目。

王六权，博士毕业于新加坡国立大学，国家青年拔尖人才，现为武汉大学数学与统计学院特聘副研究员, 副教授，主要从事数论、组合及特殊函数理论的研究，已发表学术论文40多篇。其部分结果收录在Adv. Math.，Trans. AMS等期刊上。主持国家自然科学基金青年等项目。