Article ID Journal Published Year Pages File Type
8896986 Journal of Number Theory 2018 14 Pages PDF
Abstract
Various algebraic properties of Heilbronn's exponential sum can be deduced through the use of supercharacter theory, a novel extension of classical character theory due to Diaconis-Isaacs and André. This perspective yields a variety of formulas and provides a method for computing the number of solutions to Fermat-type congruences.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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