報告人:小松尚夫 教授
報告題目:More on Fibonacci determinants
報告時間:2026年6月17日(周三)下午4:00
報告地點:云龍校區數學與統計學院304報告廳
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:
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.