Colloquium / Seminars
Topic:The two-one formula for multiple zeta values revisited
Speaker:Prof. Nobuo Sato
(Dept. of Mathematics, National Taiwan University)Date time:Oct. 13, 2020 14:00 - 15:00
Venue:SA223
Tea Party:Oct. 13, 2020 13:30 (SA205)
Abstract:
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.Download:TALK_1091013.pdf
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