English

Computing Hilbert modular forms as orthogonal modular forms

Number Theory 2025-06-30 v1

Abstract

We show how to efficiently compute Hilbert modular forms as orthogonal modular forms, generalizing and expanding upon the method of Birch.

Keywords

Cite

@article{arxiv.2506.21981,
  title  = {Computing Hilbert modular forms as orthogonal modular forms},
  author = {Jeffery Hein and Gonzalo Tornaria and John Voight},
  journal= {arXiv preprint arXiv:2506.21981},
  year   = {2025}
}

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31 pages