English

Counting Automorphic Forms on Norm One Tori

Number Theory 2018-07-13 v3

Abstract

We give an asymptotic formula for the number of automorphic forms on the non-split norm one torus TT associated with an imaginary quadratic extension of Q\mathbb{Q}, ordered by analytic conductor.

Keywords

Cite

@article{arxiv.1606.05367,
  title  = {Counting Automorphic Forms on Norm One Tori},
  author = {Ernest Hunter Brooks and Ian Petrow},
  journal= {arXiv preprint arXiv:1606.05367},
  year   = {2018}
}

Comments

Final version, to appear in Acta Arithmetica

R2 v1 2026-06-22T14:27:31.220Z