The graphic nature of Gaussian periods

DOI10.1090/S0002-9939-2015-12322-2zbMath1329.11083arXiv1212.6825OpenAlexW2018482077MaRDI QIDQ5179369

Bob Lutz, Stephan Ramon Garcia, William Duke

Publication date: 19 March 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6825

zbMATH Keywords

exponential sumGaussian periodssupercharacter

Mathematics Subject Classification ID

Exponential sums (11T23) Gauss and Kloosterman sums; generalizations (11L05)

Related Items (10)

Supercharacters and the discrete Fourier, cosine, and sine transforms ⋮ Supercharacters, exponential sums, and the uncertainty principle. ⋮ Ultra-short sums of trace functions ⋮ Visual properties of generalized Kloosterman sums ⋮ Van der Corput method and optical illusions ⋮ Equidistribution of exponential sums indexed by a subgroup of fixed cardinality ⋮ Lateral Movement in Undergraduate Research: Case Studies in Number Theory ⋮ A supercharacter approach to Heilbronn sums ⋮ The Graphic Nature of the Symmetric Group ⋮ Graphical cyclic supercharacters for composite moduli

Cites Work

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• Supercharacters, exponential sums, and the uncertainty principle.
• Classical Kloosterman sums: representation theory, magic squares, and Ramanujan multigraphs
• Ramanujan sums as supercharacters
• Basic characters of the unitriangular group (for arbitrary primes)
• Cyclotomy With Short Periods
• Mean eigenvalues for simple, simply connected, compact Lie groups
• A COMBINATORIAL PROBLEM IN FINITE FIELDS, II
• Supercharacters and superclasses for algebra groups
• The basic character table of the unitriangular group

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