报告人：小松尚夫 教授
报告题目：q-(r,s)-Stirling numbers and their applications to q-multiple zeta values
报告时间：2025年09月19日（周五）下午4：00
报告地点：云龙校区数学与统计学院6#304会议室
主办单位：数学与统计学院、数学研究院、科学技术研究院
报告人简介：
小松尚夫，河南科学院杰出科研基金访问学者，日本东京大学本科，Macquarie大学数学博士。先后任职于Hirosaki大学、武汉大学、Nagasaki大学等。主要从事解析数论的研究。先后发表包括J.NumberTheory，Tokyo J.math等国际著名数学杂志论文260余篇，发表学术专著8篇，目前担任Journal of Algebra, Number Theory: Advances and Applications， Journal of Algerian Mathematical Society等杂志编委。多次获得日本和世界各国的研究基金资助达20多项。
报告摘要：
The classical Stirling numbers (of the first kind and of the second kind) have been widely studied and generalized in various fields, in particular, in combinatorics. We show several properties of $q$-generalized $(r,s)$-Stirling numbers. On the other hand, the study on multiple zeta values has been actively studied since the 1990s. Several different types of (generalized) multiplezeta functions have been introduced and studied by many researchers. We introduce a $q$-generalization of finite version of multiple zeta values. Though many relations have been established by several researchers, we are interested in explicit formulas at roots of unity, where we can see the forms of polynomials with rational numbers.
In this talk, we will show how certain kinds of generalized Stirling numbers are closely connected with finite version of multiple zeta values.