We prove congruences modulo 4 and modulo 8 for certain polynomial character sums, and use these congruences to give conditions for the nonvanishing of Brewer sums.

Additional Metadata
Keywords Brewer sums, Character sums, Dickson polynomials, Factorization of polynomials, Finite fields, Gauss sums, Jacobsthal sums, Special polynomials
Persistent URL dx.doi.org/10.1016/j.ffa.2005.06.002
Journal Finite Fields and their Applications
Alaca, S. (2007). Congruences for Brewer sums. Finite Fields and their Applications, 13(1), 1–19. doi:10.1016/j.ffa.2005.06.002