報告人：小松尚夫 教授
報告題目：q-(r,s)-Stirling numbers and their applications to q-multiple zeta values
報告時間：2025年09月19日（周五）下午4：00
報告地點：云龍校區數學與統計學院6#304會議室
主辦單位：數學與統計學院、數學研究院、科學技術研究院
報告人簡介：
小松尚夫，河南科學院杰出科研基金訪問學者，日本東京大學本科，Macquarie大學數學博士。先后任職于Hirosaki大學、武漢大學、Nagasaki大學等。主要從事解析數論的研究。先后發表包括J.NumberTheory，Tokyo J.math等國際著名數學雜志論文260余篇，發表學術專著8篇，目前擔任Journal of Algebra, Number Theory: Advances and Applications， Journal of Algerian Mathematical Society等雜志編委。多次獲得日本和世界各國的研究基金資助達20多項。
報告摘要：
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.