新聞標題： ( 2020-10-07 )
演講主題：The two-one formula for multiple zeta values revisited
演講日期：2020年10月13日(二) 14:00 –15:00
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.