A supercharacter approach to Heilbronn sums

作者:Garcia Stephan Ramon*; Lutz Bob
来源:Journal of Number Theory, 2018, 186: 1-15.
DOI:10.1016/j.jnt.2017.10.010

摘要

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.

  • 出版日期2018-5