English

Symmetric power functoriality for Hilbert modular forms

Number Theory 2025-02-20 v2

Abstract

Let FF be a totally real field. We prove the existence of all symmetric power liftings of those cuspidal automorphic representations of GL2(AF)\mathrm{GL}_2(\mathbf{A}_F) associated to Hilbert modular forms of regular weight.

Keywords

Cite

@article{arxiv.2212.03595,
  title  = {Symmetric power functoriality for Hilbert modular forms},
  author = {James Newton and Jack A. Thorne},
  journal= {arXiv preprint arXiv:2212.03595},
  year   = {2025}
}

Comments

Accepted version. Note that theorem numbering has changed since the first version

R2 v1 2026-06-28T07:24:39.793Z