English

A density theorem for Borel-Type Congruence subgroups and arithmetic applications

Number Theory 2026-04-13 v2

Abstract

We use a (pre)-Kuznetsov type formula to prove a density result for the Borel-type congruence subgroup of GLn. This has some arithmetic applications to optimal lifting and counting considered earlier by A. Kamber and H. Lavner for GL3GL_3.

Keywords

Cite

@article{arxiv.2303.08925,
  title  = {A density theorem for Borel-Type Congruence subgroups and arithmetic applications},
  author = {Edgar Assing},
  journal= {arXiv preprint arXiv:2303.08925},
  year   = {2026}
}

Comments

31 pages, corrections taking into account referee reports, to appear in Algebra and Number Theory

R2 v1 2026-06-28T09:19:22.717Z