We improve a recent result of B. Hanson [Estimates for character sums with various convolutions. Preprint, 2015, arXiv:1509.04354] on multiplicative character sums with expressions of the type and variables from four distinct sets of a finite field. We also consider similar sums with . Our new bounds rely on some recent advances in additive combinatorics
One of the central problems of analytic number theory is to bound the magnitude of sums of Dirichlet...
One of the central problems of analytic number theory is to bound the magnitude of sums of Dirichlet...
Let E be an ordinary elliptic curve over a finite field Fq of q elements. We improve a bound on bili...
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 ...
We obtain new bounds of multivariate exponential sums with monomials, when the variables run over ra...
In this thesis, the reader is provided with a self-contained study of multiplicative charactersmodul...
Let χ be a nontrivial multiplicative character of Fpn. We obtain the following results. (1). Let ε&g...
AbstractCoding-theoretical methods are used to obtain improved lower bounds for character sums induc...
Let k be a finite field, p its characteristic, and ψ: (k, +) → Z[ζp] × ⊂ C × a nontrivial additiv...
International audienceFollowing previous works of Chung we are interested in Vinogradov’s type inequ...
International audienceFollowing previous works of Chung we are interested in Vinogradov’s type inequ...
AbstractUsing bounds of character sums we show that one of the open questions about the possible rel...
We estimate double sums \( S_\chi(a, I, G) = \sum_{x \in I} \sum_{\lambda \in G} \chi(x + a\lambda...
Motivated by Emmanuel Kowalski’s exponential sums over definable sets in finite fields, we generaliz...
One of the central problems of analytic number theory is to bound the magnitude of sums of Dirichlet...
One of the central problems of analytic number theory is to bound the magnitude of sums of Dirichlet...
Let E be an ordinary elliptic curve over a finite field Fq of q elements. We improve a bound on bili...
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 ...
We obtain new bounds of multivariate exponential sums with monomials, when the variables run over ra...
In this thesis, the reader is provided with a self-contained study of multiplicative charactersmodul...
Let χ be a nontrivial multiplicative character of Fpn. We obtain the following results. (1). Let ε&g...
AbstractCoding-theoretical methods are used to obtain improved lower bounds for character sums induc...
Let k be a finite field, p its characteristic, and ψ: (k, +) → Z[ζp] × ⊂ C × a nontrivial additiv...
International audienceFollowing previous works of Chung we are interested in Vinogradov’s type inequ...
International audienceFollowing previous works of Chung we are interested in Vinogradov’s type inequ...
AbstractUsing bounds of character sums we show that one of the open questions about the possible rel...
We estimate double sums \( S_\chi(a, I, G) = \sum_{x \in I} \sum_{\lambda \in G} \chi(x + a\lambda...
Motivated by Emmanuel Kowalski’s exponential sums over definable sets in finite fields, we generaliz...
One of the central problems of analytic number theory is to bound the magnitude of sums of Dirichlet...
One of the central problems of analytic number theory is to bound the magnitude of sums of Dirichlet...
Let E be an ordinary elliptic curve over a finite field Fq of q elements. We improve a bound on bili...
DOI
Add to ORKG