English

Matrix Kloosterman sums

Number Theory 2024-10-23 v4

Abstract

We study a family of exponential sums that arises in the study of the horocyclic flow on GLn\mathrm{GL}_n. We prove an explicit version of general purity and find optimal bounds for these sums.

Keywords

Cite

@article{arxiv.2109.00762,
  title  = {Matrix Kloosterman sums},
  author = {Márton Erdélyi and Árpád Tóth},
  journal= {arXiv preprint arXiv:2109.00762},
  year   = {2024}
}

Comments

57 pages, some minor changes done and new references added

R2 v1 2026-06-24T05:37:08.836Z