Symmetric power functoriality for holomorphic modular forms, II

TL;DR

This paper proves the existence of symmetric power liftings for all holomorphic Hecke eigenforms, advancing the understanding of functoriality in the Langlands program.

Contribution

It establishes the symmetric power liftings for all holomorphic Hecke eigenforms, a significant step in functoriality theory.

Findings

Symmetric power liftings exist for all holomorphic Hecke eigenforms.

Advances functoriality in the Langlands program.

Provides a foundation for further automorphic form research.

Abstract

We establish the existence of the symmetric power liftings of all holomorphic Hecke eigenforms.