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Zeta functions of quasi-split reductive algebraic groups over local fields
Abstract
We calculate zeta functions of quasi-split reductive algebraic groups over local fields using the classification of Tits and prove a functional equation. We give explicit exam- ples of these zeta functions for non-split unitary and orthogonal groups.
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BibTeX
@misc{sautoy2026zeta,
title = {{Zeta functions of quasi-split reductive algebraic groups over local fields}},
author = {Marcus du Sautoy},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.03470},
eprint = {2611.03470},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.03470},
}
RIS
TY - UNPB
TI - Zeta functions of quasi-split reductive algebraic groups over local fields
AU - Marcus du Sautoy
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.03470
UR - https://arxiv.org/abs/2611.03470
AB - We calculate zeta functions of quasi-split reductive algebraic groups over local fields using the classification of Tits and prove a functional equation. We give explicit exam- ples of these zeta functions for non-split unitary and orthogonal groups.
ER -