Title
Exponential Sums as Discrete Fourier Transform with Invariant Phase Functions
Abstract
We give estimates for exponential sums over finite fields in several variables. We study the case where the phase is either quadratic or more generally invariant under the action of a finite group. The bounds obtained are better than the general ones; they imply some estimates for certain sums in one variable, and for the number of solutions of the trace equation Tr(x d + vx) .--- O. In an appendix we discuss the link between exponential sums and bent functions.
Year
DOI
Venue
1993
10.1007/3-540-56686-4_46
AAECC
Keywords
Field
DocType
discrete fourier transform,exponential sums,invariant phase functions,finite field,bent function,exponential sum
Discrete mathematics,Combinatorics,Fourier analysis,Exponential function,Exponential sum,Mathematical analysis,Discrete Fourier series,Fourier inversion theorem,Discrete Fourier transform (general),Invariant (mathematics),Fourier transform on finite groups,Mathematics
Conference
ISBN
Citations 
PageRank 
3-540-56686-4
1
1.01
References 
Authors
6
1
Name
Order
Citations
PageRank
Gilles Lachaud1418.53