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【6月16日】魏传安教授学术报告

发布时间:2021-06-15文章来源: 浏览次数:

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

人:魏传安 教授 (海南医学院)

   间:2021616日 上午 10:00-11:00

   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.


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