Algebraic independence results for iterated integrals of meromorphic modular forms

Abstract: As a byproduct of their recent work on the magnetism phenomenon for modular forms, Pasol and Zudilin proved that primitives of the meromorphic modular forms Delta/E_4^2, E_4*Delta/E_6^2, and E_6*Delta/E_4^3 are algebraically independent over the differential field generated by quasimodular forms. We will report on work in progress on how to generalize this to iterated integrals of arbitrary meromorphic modular forms.

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