Linear forms in polylogarithms

Abstract: We shall discuss a recent joint work with Sinnou David and Noriko Hirata. In this talk, we introduce a linear independence criterion of values of generalized Lerch functions. By this criterion, we obtain new linear independence results on the values of polylogarithms at distinct points over an algebraic number field. This is done via a construction of an explicit system of Padé apppoximants of generalized Lerch functions.

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