報(bào)告人:小松尚夫 教授
報(bào)告題目:More on Fibonacci determinants
報(bào)告時(shí)間:2026年6月17日(周三)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304報(bào)告廳
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(jiǎn)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(guó)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(guó)的研究基金資助達(dá)20多項(xiàng)。
報(bào)告摘要:
In 2022, together with Narakorn Rompurk Kanasri (passed away this year by the traffic accident) and Vichian Laohakosol, by applying Cameron's operator, determinant expressions of hypergeometric Bernoulli, Cauchy and Euler numbers were given.
This method is also applicable to determinant representations of Fibonacci and related numbers. In 2025, such results were further generalized to Fibonacci and related polynomials. In this talk, more on determinant expressions of Fibonacci-type numbers or polynomials are given. One key factor is to use the properties of Bell polynomials.