On a generalization of Jacobi sums

2021/06/09 by Rojas-León, Antonio
#11L05 #11L07 #11T24 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2106.05339

Abstract

We prove an estimate for multi-variable multiplicative character sums over affine subspaces of \mathbb Aⁿ_k, which generalize the well known estimates for both classical Jacobi sums and one-variable polynomial multiplicative character sums.

Related

• Character sums over affine spaces and applications
• p-adic estimates for multiplicative character sums
• Exponential sum estimates over prime fields
• Estimates for Character Sums with Various Convolutions
• Estimates for trilinear and quadrilinear character sums