DOIAbstract
Let k be a finite field, p its characteristic, and ψ: (k, +) → Z[ζp] × ⊂ C × a nontrivial additive character of k. We are given a polynomial f = f(x1,..., xn) in n ≥ 1 variables over k of degree d ≥ 1 which is
Let k be a finite field, p its characteristic, and ψ: (k, +) → Z[ζp] × ⊂ C × a nontrivial additive character of k. We are given a polynomial f = f(x1,..., xn) in n ≥ 1 variables over k of degree d ≥ 1 which is
The purpose of this paper is to extend results of Stepanov (1980; 1994) about lower bounds for incom...
AbstractFor the finite field Fq of q elements (q odd) and a quadratic non-residue (that is, a non-sq...
In 1952, Perron showed that quadratic residues in a field of prime order satisfy certain additive pr...
In this thesis we present a number of character sum estimates for sums ofvarious types occurring in ...
In this thesis we present a number of character sum estimates for sums ofvarious types occurring in ...
AbstractIn the first part of the paper, certain incomplete character sums over a finite field Fpr ar...
Abstract. Let f be a complex valued function on a finite field F such that f(0) = 0, f(1) = 1, and...
Let χ be a nontrivial multiplicative character of Fpn. We obtain the following results. (1). Let ε&g...
Motivated by Emmanuel Kowalski’s exponential sums over definable sets in finite fields, we generaliz...
AbstractIn this paper, we give estimates of character sums of Weil type. They are associated with po...
Notes for a talk given at LSBU on 7 September 2007 Finite fields Fq is the finite field of q element...
We improve a recent result of B. Hanson [Estimates for character sums with various convolutions. Pre...
We obtain bounds of sums of additive characters with discriminants of polynomials over finite fields...
Abstract. We obtain nontrivial estimates of quadratic charac-ter sums of division polynomials Ψn(P),...
AbstractLet A=Fq[t] denote the ring of polynomials over the finite field Fq. We denote by e a certai...
The purpose of this paper is to extend results of Stepanov (1980; 1994) about lower bounds for incom...
AbstractFor the finite field Fq of q elements (q odd) and a quadratic non-residue (that is, a non-sq...
In 1952, Perron showed that quadratic residues in a field of prime order satisfy certain additive pr...
In this thesis we present a number of character sum estimates for sums ofvarious types occurring in ...
In this thesis we present a number of character sum estimates for sums ofvarious types occurring in ...
AbstractIn the first part of the paper, certain incomplete character sums over a finite field Fpr ar...
Abstract. Let f be a complex valued function on a finite field F such that f(0) = 0, f(1) = 1, and...
Let χ be a nontrivial multiplicative character of Fpn. We obtain the following results. (1). Let ε&g...
Motivated by Emmanuel Kowalski’s exponential sums over definable sets in finite fields, we generaliz...
AbstractIn this paper, we give estimates of character sums of Weil type. They are associated with po...
Notes for a talk given at LSBU on 7 September 2007 Finite fields Fq is the finite field of q element...
We improve a recent result of B. Hanson [Estimates for character sums with various convolutions. Pre...
We obtain bounds of sums of additive characters with discriminants of polynomials over finite fields...
Abstract. We obtain nontrivial estimates of quadratic charac-ter sums of division polynomials Ψn(P),...
AbstractLet A=Fq[t] denote the ring of polynomials over the finite field Fq. We denote by e a certai...
The purpose of this paper is to extend results of Stepanov (1980; 1994) about lower bounds for incom...
AbstractFor the finite field Fq of q elements (q odd) and a quadratic non-residue (that is, a non-sq...
In 1952, Perron showed that quadratic residues in a field of prime order satisfy certain additive pr...
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