Let χ be a nontrivial multiplicative character of Fpn. We obtain the following results. (1). Let ε> 0 be given. If B = {∑nj=1 xjωj: xj ∈ [Nj+1, Nj+Hj]∩Z, j = 1,..., n} is a box satisfying n Π j=
AbstractUsing bounds of character sums we show that one of the open questions about the possible rel...
AbstractFor B⩾1 let N(B) denote the number of solutions of the equation n1n2=n3n4 with 1⩽ni⩽B. For a...
Notes for a talk given at LSBU on 7 September 2007 Finite fields Fq is the finite field of q element...
Let χ be a nontrivial multiplicative character of Fpn. We obtain the following results. (1). Let ε&g...
Let χ be a nontrivial multiplicative character of Fpn. We obtain the following results. (1). Let ε&g...
Abstract. Let f be a complex valued function on a finite field F such that f(0) = 0, f(1) = 1, and...
We improve a recent result of B. Hanson [Estimates for character sums with various convolutions. Pre...
Let k be a finite field, p its characteristic, and ψ: (k, +) → Z[ζp] × ⊂ C × a nontrivial additiv...
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 ...
AbstractConsider an extension field Fqm=Fq(α) of the finite field Fq. Davenport proved that the set ...
In this thesis, the reader is provided with a self-contained study of multiplicative charactersmodul...
Abstract. We obtain formulae and estimates for character sums of the type S(χ, f, pm) = ∑pm x=1 χ(f(...
AbstractIn the first part of the paper, certain incomplete character sums over a finite field Fpr ar...
The purpose of this paper is to extend results of Stepanov (1980; 1994) about lower bounds for incom...
AbstractUsing bounds of character sums we show that one of the open questions about the possible rel...
AbstractFor B⩾1 let N(B) denote the number of solutions of the equation n1n2=n3n4 with 1⩽ni⩽B. For a...
Notes for a talk given at LSBU on 7 September 2007 Finite fields Fq is the finite field of q element...
Let χ be a nontrivial multiplicative character of Fpn. We obtain the following results. (1). Let ε&g...
Let χ be a nontrivial multiplicative character of Fpn. We obtain the following results. (1). Let ε&g...
Abstract. Let f be a complex valued function on a finite field F such that f(0) = 0, f(1) = 1, and...
We improve a recent result of B. Hanson [Estimates for character sums with various convolutions. Pre...
Let k be a finite field, p its characteristic, and ψ: (k, +) → Z[ζp] × ⊂ C × a nontrivial additiv...
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 ...
AbstractConsider an extension field Fqm=Fq(α) of the finite field Fq. Davenport proved that the set ...
In this thesis, the reader is provided with a self-contained study of multiplicative charactersmodul...
Abstract. We obtain formulae and estimates for character sums of the type S(χ, f, pm) = ∑pm x=1 χ(f(...
AbstractIn the first part of the paper, certain incomplete character sums over a finite field Fpr ar...
The purpose of this paper is to extend results of Stepanov (1980; 1994) about lower bounds for incom...
AbstractUsing bounds of character sums we show that one of the open questions about the possible rel...
AbstractFor B⩾1 let N(B) denote the number of solutions of the equation n1n2=n3n4 with 1⩽ni⩽B. For a...
Notes for a talk given at LSBU on 7 September 2007 Finite fields Fq is the finite field of q element...