English

Hermitian modular forms and algebraic modular forms on $SO(6)$

Number Theory 2025-05-30 v1

Abstract

We state conjectures that relate Hermitian modular forms of degree two and algebraic modular forms for the compact group SO(6)SO(6). We provide evidence for these conjectures in the form of dimension formulas and explicit computations of eigenforms.

Keywords

Cite

@article{arxiv.2505.23497,
  title  = {Hermitian modular forms and algebraic modular forms on $SO(6)$},
  author = {Tomoyoshi Ibukiyama and Brandon Williams},
  journal= {arXiv preprint arXiv:2505.23497},
  year   = {2025}
}

Comments

41 pages

R2 v1 2026-07-01T02:48:31.270Z