English

A supercharacter approach to Heilbronn sums

Number Theory 2017-11-15 v3

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.

Keywords

Cite

@article{arxiv.1312.1034,
  title  = {A supercharacter approach to Heilbronn sums},
  author = {Stephan Ramon Garcia and Bob Lutz},
  journal= {arXiv preprint arXiv:1312.1034},
  year   = {2017}
}

Comments

13 pages

R2 v1 2026-06-22T02:20:19.478Z