Orbital integrals and Dedekind zeta functions
Number Theory
2013-03-13 v2
Abstract
Let F be a local non-archimedean field. We prove a formula relating orbital integrals in GL(n,F) (for the unit Hecke function) and the generating series counting ideals of a certain ring. Using this formula, we give an explicit estimate for such orbital integrals. We also derive an analogous formula for global fields, proving analytic properties of the Dedekind zeta function for orders in global fields.
Cite
@article{arxiv.1303.2420,
title = {Orbital integrals and Dedekind zeta functions},
author = {Zhiwei Yun},
journal= {arXiv preprint arXiv:1303.2420},
year = {2013}
}
Comments
19 pages