paper

A supercharacter approach to Heilbronn sums

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.

arXiv comment13 pages