主講人：崔素平 青海師范大學(xué)教授

時(shí)間：2023年4月13日10：00

地點(diǎn)：騰訊會(huì)議 882 831 575

舉辦單位：數(shù)理學(xué)院

主講人介紹：崔素平，中共黨員，青海師范大學(xué)教授。青海省數(shù)學(xué)會(huì)副秘書(shū)長(zhǎng)。曾獲南開(kāi)大學(xué)優(yōu)秀畢業(yè)生、鐘家慶數(shù)學(xué)獎(jiǎng)等榮譽(yù)稱(chēng)號(hào)。一直從事組合及其應(yīng)用等方向的研究, 主要涉及同余式、仿 theta 函數(shù)、分拆的秩等。在《Advances in Mathematics》、《Advances in Applied Mathematics》、《The Ramanujan Journal》、《International Journal of Number Theory》、《Journal of the Australian Mathematical Society》等重要期刊發(fā)表或接受發(fā)表論文21篇。

內(nèi)容介紹：In his 1984 AMS Memoir, Andrews introduced the family of functions $c\phi_k(n)$, the number of k-colored generalized Frobenius partitions of n. In 2019, Chan, Wang and Yang systematically studied the arithmetic properties of $\textrm{C}\Phi_k(q)$ for $2\leq k\leq17$ by utilizing the theory of modular forms, where $\textrm{C}\Phi_k(q)$ denotes the generating function of $c\phi_k(n)$. In this talk, we first establish another expression of $\textrm{C}\Phi_{12}(q)$, then prove some congruences modulo small powers of 3 for $c\phi_{12}(n)$ by using some parameterized identities of theta functions due to A. Alaca, S. Alaca and Williams. Finally, we also conjecture three families of congruences modulo powers of 3 satisfied by $c\phi_{12}(n)$.