English

Applications of the Kuznetsov formula on GL(3)

Number Theory 2015-06-05 v2

Abstract

We develop a fairly explicit Kuznetsov formula on GL(3) and discuss the analytic behaviour of the test functions on both sides. Applications to Weyl's law, exceptional eigenvalues, a large sieve and L-functions are given.

Keywords

Cite

@article{arxiv.1205.1781,
  title  = {Applications of the Kuznetsov formula on GL(3)},
  author = {Valentin Blomer},
  journal= {arXiv preprint arXiv:1205.1781},
  year   = {2015}
}

Comments

updated version, to appear