English

Automorphic products that are singular modulo primes

Number Theory 2023-07-27 v1

Abstract

We use Rankin--Cohen brackets on O(n, 2) to prove that the Fourier coefficients of reflective Borcherds products often satisfy congruences modulo certain primes.

Keywords

Cite

@article{arxiv.2307.14222,
  title  = {Automorphic products that are singular modulo primes},
  author = {Haowu Wang and Brandon Williams},
  journal= {arXiv preprint arXiv:2307.14222},
  year   = {2023}
}

Comments

13 pages

R2 v1 2026-06-28T11:40:46.240Z