The generating fields of twisted Kloosterman sums
We use the Kloosterman sheaves constructed by Fisher to show when two twisted Kloosterman sums differ by a factor of a [Formula: see text]th root of unity, and use p-adic analysis to prove the non-vanishing of twisted Kloosterman sums. Then, we determine generating fields of twisted Kloosterman sums by these results.
Authors
- Shenxing Zhang (ORCID: https://orcid.org/0000-0001-8126-1015)
Institutions
- Hefei University of Technology (CN)
Publication Details
- Journal
- International Journal of Number Theory
- Published
- 2025-03-28
- DOI
- https://doi.org/10.1142/s1793042125500782
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00