A supercharacter approach to Heilbronn sums

2013/12/04 by Garcia, Stephan Ramon, Lutz, Bob · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1312.1034

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 Andre. This perspective yields a variety of formulas and provides a method for computing the number of solutions to Fermat-type congruences.

Cited by

• Supercharacters of finite abelian groups and applications to spectra of U-unitary Cayley graphs

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