English

A relative trace formula approach to the Kuznetsov formula on $GSp_4$

Number Theory 2021-08-24 v2

Abstract

Relative trace formulas play a central role in studying automorphic forms. In this paper, we use a relative trace formula approach to derive a Kuznetsov type formula for the group GSp4GSp_4. We focus on giving a final formula that is as explicit as possible, and we plan on returning to applications elsewhere.

Keywords

Cite

@article{arxiv.2107.08755,
  title  = {A relative trace formula approach to the Kuznetsov formula on $GSp_4$},
  author = {Félicien Comtat},
  journal= {arXiv preprint arXiv:2107.08755},
  year   = {2021}
}

Comments

45 pages, comments welcome, fixed a miscalculation in the identity contribution