Supercharacters and mixed moments of Kloosterman sums

DOI10.1142/S1793042118500616zbMath1471.11227OpenAlexW2765511973MaRDI QIDQ4639963

George Todd, Angel Chavez

Publication date: 15 May 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042118500616

zbMATH Keywords

elliptic curvesKloosterman sumssupercharacter theory

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Elliptic curves over global fields (11G05) Gauss and Kloosterman sums; generalizations (11L05)

Related Items (5)

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

Cites Work

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• Ramanujan sums as supercharacters
• Finite transformation formulae involving the Legendre symbol
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• Basic characters of the unitriangular group (for arbitrary primes)
• JMM Lecture Sampler
• Evaluation of Character Sums Connected with Elliptic Curves
• 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
• The Graphic Nature of the Symmetric Group
• Supercharacters and superclasses for algebra groups
• The basic character table of the unitriangular group
• Seventh power moments of Kloosterman sums

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