2022/07/25 by Rojas-León, Antonio
#11L05 #11L07 #11T24 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2207.12439
We prove a general independent equidistribution result for Gauss sums associated to n monomials in r variable multiplicative characters over a finite field, which generalizes several previous equidistribution results for Gauss and Jacobi sums. As an application, we show that any relation satisfied by these Gauss sums must be a combination of the conjugation relation G(χ)G(χ)=± q, Galois conjugation invariance and the Hasse-Davenport product formula.