PreprintCC BY 4.0arXiv
Ramanujan Conjecture and Riemann Hypothesis for the unitary groups over function fields
Abstract
We establish generic local and global Langlands functoriality, namely stable base change, for the unitary groups in characteristic p. Main applications are the Ramanujan Conjecture and the Riemann Hypothesis for extended Langlands-Shahidi L-functions of the unitary groups over function fields.
Related
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BibTeX
@misc{lomeli2026ramanujan,
title = {{Ramanujan Conjecture and Riemann Hypothesis for the unitary groups over function fields}},
author = {Luis Alberto Lomelí},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.23985},
eprint = {2610.23985},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.23985},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Ramanujan Conjecture and Riemann Hypothesis for the unitary groups over function fields
AU - Luis Alberto Lomelí
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2610.23985
UR - https://arxiv.org/abs/2610.23985
AB - We establish generic local and global Langlands functoriality, namely stable base change, for the unitary groups in characteristic p. Main applications are the Ramanujan Conjecture and the Riemann Hypothesis for extended Langlands-Shahidi L-functions of the unitary groups over function fields.
ER -