Motivic action conjecture for Doi-Naganuma lifts

TL;DR

This paper proves a conjecture related to motivic actions for certain weight one newforms over real quadratic fields, advancing understanding in the field of automorphic forms and motives.

Contribution

It establishes the motivic action conjecture for base changes of specific weight one newforms with particular properties over real quadratic fields.

Findings

Proved the motivic action conjecture in the specified setting.

Extended the conjecture's validity to newforms with odd, squarefree level.

Enhanced understanding of automorphic forms and their associated motives.

Abstract

We prove the motivic action conjecture for the base change to real quadratic fields of weight one newforms with odd, squarefree level and solvable projective image.