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

报告人：魏传安教授

报告时间：2021/05/17 10:00-11:30

报告地点：腾讯会议 338 987 550

报告摘要：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 [n] Φ_n (q)^3. Here [n] = (1 − q^n)/(1 − q) and Φ_n (q) 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.

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。