Visual aspects of Gaussian periods and analogues

DOI10.1142/s1793042124501082MaRDI QIDQ6628927

Samantha Platt

Publication date: 29 October 2024

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

zbMATH Keywords

complex multiplicationclass field theorysupercharacter theoryGaussian periods

Mathematics Subject Classification ID

Galois theory (11R32) Gauss and Kloosterman sums; generalizations (11L05) Class field theory (11R37) Cyclotomic extensions (11R18) Other abelian and metabelian extensions (11R20) Exponential sums and character sums (11L99)

Cites Work

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• Supercharacters, exponential sums, and the uncertainty principle.
• JMM Lecture Sampler
• On the computation of generalized division polynomials
• Convolution and Equidistribution
• Computational class field theory
• Generalized division polynomials
• Algebraic Number Starscapes
• The graphic nature of Gaussian periods
• Graphical cyclic supercharacters for composite moduli
• The Graphic Nature of the Symmetric Group
• Supercharacters and superclasses for algebra groups
• Class field theory
• Ultra-short sums of trace functions
• Equidistribution of exponential sums indexed by a subgroup of fixed cardinality

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