On the dimension of the space generated by multizeta values in characteristic p

Ryotaro Harada (National Center for Theoretical Sciences)

15-Dec-2020, 08:40-09:10 (3 years ago)

Abstract: In 1994, Don Zagier gave a conjecture about the dimension of the space generated by the power of $2\pi i$ and double zeta values with fixed weight. In 2016, Chieh-Yu Chang tackled this problem in characteristic $p$ case and obtained a lower bound of the dimension of the space generated by the power of Carlitz period and characteristic $p$ double zeta values with fixed weight.

In this talk, we prove that the set of characteristic $p$ multizeta values whose indices are "$g$-independent" is a linearly independent set over the rational function field of characteristic $p$. This gives a generalization of Chang’s result to the case of depth greater than 2.

This is a joint work with Yen-Tsung Chen in National Tsing Hua University.

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
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