报告题目:  Some q-supercongruences modulo the fourth power of a cyclotomic polynomial

报 告 人：魏传安 教授 (海南医学院)

时    间：2021年6月16日 上午 10:00-11:00

地    点：腾讯会议167322096

报告人简介：

魏传安，海南医学院，教授。从事组合数学的研究多年，主持国家自然科学基金3项，在Journal of Combinatorial Theory, Series A, Advances in Applied Mathematics, Proceedings of the American Mathematical Society 等杂志发表论文30余篇。

报告内容：

With the help of the creative microscoping method recently introduced by Guo and Zudilin and the Chinese remainder theorem for coprime polynomials, we establish a q-supercongruence with two parameters modulo . Here [n] = (1 − q )/(1 − q) and is the n-th cyclotomic polynomial in q. In particular, we confifirm a recent conjecture of Guo and give a complete q-analogue of Long’s supercongruence. The latter is also a generalization of a recent q-supercongruence obtained by Guo and Schlosser.