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Galois representations and modularity for twisted moments of Kloosterman sums

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.13576

Authors: Lim, Zi Li, Tu, Fang-Ting, Yu, Jeng-Daw

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, National Taiwan University, Division of Mathematical Sciences

Award: The Arithmetic Properties of Modular Forms and Hypergeometric Systems

OpenAlex ID: W7213328934

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