A new approach to Kawashima's relation for multiple zeta values

Masanobu Kaneko (Kyushu University)

13-Oct-2020, 08:00-08:30 (3 years ago)

Abstract: Kawashima's relation is conjecturally one of the largest classes of relations among multiple zeta values. In his highly original work, Gaku Kawashima introduced and studied a certain Newton series, which we call the Kawashima function, and deduced his relation by establishing several properties of this function. In this talk, we will describe a new approach to the Kawashima function without using Newton series. We first establish a generalization of the theory of regularizations of divergent multiple zeta values for a Hurwitz type multiple zeta values, and then relate it to the Kawashima function. Via this connection, we can prove a key property of the Kawashima function to establish Kawashima's relation. This is a joint work with Ce Xu and Shuji Yamamoto

number theory

Audience: researchers in the topic


Japan Europe Number Theory Exchange Seminar

Series comments: The purpose of the Japan Europe Number Theory Exchange Seminar is to give a opportunity for researchers in Japan and Europe to exchange their research projects by giving short talks (30 min). The target audience are researchers of any level in the area of number theory.

Start for Fall 2021: 26th October

Organizers: Henrik Bachmann*, Nils Matthes
*contact for this listing

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