報(bào)告人：小松尚夫 教授

報(bào)告題目：q-(r,s)-Stirling numbers and their applications to q-multiple zeta values

報(bào)告時(shí)間：2025年09月19日（周五）下午4：00

報(bào)告地點(diǎn)：云龍校區(qū)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院6#304會(huì)議室

主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院

報(bào)告人簡介：

小松尚夫，河南科學(xué)院杰出科研基金訪問學(xué)者，日本東京大學(xué)本科，Macquarie大學(xué)數(shù)學(xué)博士。先后任職于Hirosaki大學(xué)、武漢大學(xué)、Nagasaki大學(xué)等。主要從事解析數(shù)論的研究。先后發(fā)表包括J.NumberTheory，Tokyo J.math等國際著名數(shù)學(xué)雜志論文260余篇，發(fā)表學(xué)術(shù)專著8篇，目前擔(dān)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(dá)20多項(xiàng)。

報(bào)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.