Add to ORKGIn this thesis we present a number of character sum estimates for sums ofvarious types occurring in finite fields. The sums in question generally have anarithmetic combinatorial flavour and we give applications of suchestimates to problems in arithmetic combinatorics and analytic number theory.Conversely, we demonstrate ways in which the theory of arithmetic combinatorics can be used to obtain certain character sum estimates.Ph.D
This thesis establishes new quantitative results in several problems relating to the sum-product phe...
We estimate certain double character sums over points of an elliptic curve and in the multiplicative...
AbstractA mean-value estimate for character sums with real characters is proved in an elementary way...
In this thesis we present a number of character sum estimates for sums ofvarious types occurring in ...
We improve a recent result of B. Hanson [Estimates for character sums with various convolutions. Pre...
International audienceFinite fields play important roles in many application areas such as coding th...
We prove a character sum identity for Coxeter arrangements which is a finite field analogue of Macdo...
AbstractPeriodic arithmetical functions in algebraic number fields are investigated in regard to the...
In this thesis, the reader is provided with a self-contained study of multiplicative charactersmodul...
AbstractPeriodic arithmetical functions in algebraic number fields are investigated in regard to the...
International audienceIn Fq, Dartyge and Sarkozy introduced the notion of digits and studied some pr...
Let k be a finite field, p its characteristic, and ψ: (k, +) → Z[ζp] × ⊂ C × a nontrivial additiv...
AbstractIn this paper, we give estimates of character sums of Weil type. They are associated with po...
Let E be an ordinary elliptic curve over a finite field Fq of q elements. We improve a bound on bili...
The purpose of this paper is to extend results of Stepanov (1980; 1994) about lower bounds for incom...
This thesis establishes new quantitative results in several problems relating to the sum-product phe...
We estimate certain double character sums over points of an elliptic curve and in the multiplicative...
AbstractA mean-value estimate for character sums with real characters is proved in an elementary way...
In this thesis we present a number of character sum estimates for sums ofvarious types occurring in ...
We improve a recent result of B. Hanson [Estimates for character sums with various convolutions. Pre...
International audienceFinite fields play important roles in many application areas such as coding th...
We prove a character sum identity for Coxeter arrangements which is a finite field analogue of Macdo...
AbstractPeriodic arithmetical functions in algebraic number fields are investigated in regard to the...
In this thesis, the reader is provided with a self-contained study of multiplicative charactersmodul...
AbstractPeriodic arithmetical functions in algebraic number fields are investigated in regard to the...
International audienceIn Fq, Dartyge and Sarkozy introduced the notion of digits and studied some pr...
Let k be a finite field, p its characteristic, and ψ: (k, +) → Z[ζp] × ⊂ C × a nontrivial additiv...
AbstractIn this paper, we give estimates of character sums of Weil type. They are associated with po...
Let E be an ordinary elliptic curve over a finite field Fq of q elements. We improve a bound on bili...
The purpose of this paper is to extend results of Stepanov (1980; 1994) about lower bounds for incom...
This thesis establishes new quantitative results in several problems relating to the sum-product phe...
We estimate certain double character sums over points of an elliptic curve and in the multiplicative...
AbstractA mean-value estimate for character sums with real characters is proved in an elementary way...