Moments of Kloosterman sums, supercharacters, and elliptic curves

DOI10.1007/s13226-022-00243-8zbMath1528.11071OpenAlexW4220664035MaRDI QIDQ6099750

Fahim Sayed, Gautam Kalita

Publication date: 20 June 2023

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-022-00243-8

zbMATH Keywords

elliptic curvesKloosterman sumsupercharacter theory

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Elliptic curves over global fields (11G05) Gauss and Kloosterman sums; generalizations (11L05) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Related Items (3)

Eighth power moment of Kloosterman sum, supercharacters, and elliptic curves ⋮ Moments of mixed Kloosterman sums, supercharacters, and elliptic curves ⋮ On a supercharacter analog of nilpotent groups

Cites Work

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• Motivic orthogonal two-dimensional representations of \(\text{Gal}(\overline\mathbb{Q}/\mathbb{Q})\)
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• Supercharacters, elliptic curves, and the sixth moment of Kloosterman sums
• The modularity of the Barth--Nieto quintic and its relatives
• Supercharacters and mixed moments of Kloosterman sums
• Galois representations attached to moments of Kloosterman sums and conjectures of Evans
• Hypergeometric $\mathbf {{}_3{\it F}_2(1/4)}$ evaluations over finite fields and Hecke eigenforms
• Supercharacters and superclasses for algebra groups
• The basic character table of the unitriangular group
• Seventh power moments of Kloosterman sums

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