PreprintCC BY 4.0arXiv
Galois representations and modularity for twisted moments of Kloosterman sums
Abstract
Associated with the classical Kloosterman sums, we consider the quadratic twisted symmetric power moments. We investigate the cohomological properties and construct the motives over the field of the rationals underlying such moments. We determine the associated modular forms in the lower degree cases.
Related
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BibTeX
@misc{lim2026galois,
title = {{Galois representations and modularity for twisted moments of Kloosterman sums}},
author = {Zi Li Lim and Fang-Ting Tu and Jeng-Daw Yu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.13576},
eprint = {2609.13576},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.13576},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Galois representations and modularity for twisted moments of Kloosterman sums
AU - Zi Li Lim
AU - Fang-Ting Tu
AU - Jeng-Daw Yu
PY - 2026
DA - 2026/09/11
PB - arXiv
DO - 10.48550/arxiv.2609.13576
UR - https://arxiv.org/abs/2609.13576
AB - Associated with the classical Kloosterman sums, we consider the quadratic twisted symmetric power moments. We investigate the cohomological properties and construct the motives over the field of the rationals underlying such moments. We determine the associated modular forms in the lower degree cases.
ER -