PreprintCC BY 4.0arXiv
Kloosterman Sums and Plücker Height Zeta Functions
Abstract
We establish nontrivial bounds for Kloosterman sums over p-adic fields associated with the longest Weyl element on arbitrary split reductive groups, at arbitrary level. As an application, we obtain the regularity of Bessel distributions (of Whittaker models) for all such groups.
Related
- Mixed moments of arithmetic functions and Kloosterman sums
- Computation of anisotropic singular sums from high-order derivatives of Epstein zeta functions
- Graph lattice sums and graph zeta functions for long-range interacting quantum lattice models
- Bessel Distributions and Kloosterman Sums
- Galois representations and modularity for twisted moments of Kloosterman sums
BibTeX
@misc{cai2026kloosterman,
title = {{Kloosterman Sums and Plücker Height Zeta Functions}},
author = {Li Cai and Jingsong Chai and Yadi Liu and Mingyu Yang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.41332},
eprint = {2610.41332},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.41332},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Kloosterman Sums and Plücker Height Zeta Functions
AU - Li Cai
AU - Jingsong Chai
AU - Yadi Liu
AU - Mingyu Yang
PY - 2026
DA - 2026/10/30
PB - arXiv
DO - 10.48550/arxiv.2610.41332
UR - https://arxiv.org/abs/2610.41332
AB - We establish nontrivial bounds for Kloosterman sums over p-adic fields associated with the longest Weyl element on arbitrary split reductive groups, at arbitrary level. As an application, we obtain the regularity of Bessel distributions (of Whittaker models) for all such groups.
ER -