Geometric zeta functions for higher rank p-adic groups
Number Theory
2017-09-04 v3
Abstract
The higher rank Lefschetz formula for p-adic groups is used to prove rationality of a several-variable zeta function attached to the action of a p-adic group on its Bruhat-Tits building. By specializing to certain lines one gets one-variable zeta functions, which then can be related to geometrically defined zeta functions
Cite
@article{arxiv.1303.6848,
title = {Geometric zeta functions for higher rank p-adic groups},
author = {Anton Deitmar and Ming-Hsuan Kang},
journal= {arXiv preprint arXiv:1303.6848},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:math/0505405, arXiv:math/0209383