演講公告
新聞標題: ( 2020-10-07 )
演講主題:The two-one formula for multiple zeta values revisited
主講人:佐藤信夫教授(台灣大學 數學系)
演講日期:2020年10月13日(二) 14:00 –15:00
演講地點:(光復校區) 科學一館223室
茶會時間:當天下午13:30 (科學一館205室)
摘要內容:
Abstract. A multiple zeta value, or MZV in short, is a generalization of the Riemann zeta value at a positive integer, defined by a certain nested infinite sum. It is well known that MZV's satisfy a large family of linear/algebraic relations over the rationals. Among such relations is the so-called two-one formula, which was first conjectured by Ohno and Zudilin as a generalization of their formula and was later proved by Zhao in a quite ingenious but also mysterious way. In my talk, I would like to revisit the two-one formula from the viewpoint of iterated beta integrals introduced by Hirose and myself. Our new viewpoint provides a clear understanding of the phenomena as well as a universal way to prove identities of similar flavors, such as Zagier’s 2-3-2 formula and its generalization.相關檔案:TALK_1091013.pdf
