We use character sums to derive new bounds on the additive energy of the set of distances (counted with multiplicities) between two subsets of a vector space over a given finite field. We also give applications to sumsets of distance sets.13 page(s
For a prime power $q$, let $\mathbb{F}_q$ be the finite field of $q$ elements. We show that \mathbb...
Let G be the additive group of a finite field. J. Li and D. Wan determined the exact number of solut...
AbstractConsider an extension field Fqm=Fq(α) of the finite field Fq. Davenport proved that the set ...
Weuse bounds of exponential sums to derive new lower bounds on the number of distinct distances betw...
We use bounds of exponential sums to derive new lower bounds on the number of distinct distances bet...
AbstractFor the finite field Fq of q elements (q odd) and a quadratic non-residue (that is, a non-sq...
We use exponential sums to obtain new lower bounds on the number of distinct distances defined by al...
We investigate the size of the distance set determined by two subsets of finite dimensional vector s...
We study the Erdös/Falconer distance problem in vector spaces over finite fields. Let Fq be a finit...
This thesis establishes new quantitative results in several problems relating to the sum-product phe...
AbstractIn this paper we study the generalized Erdős–Falconer distance problems in the finite field ...
For a prime power $q$, let $\mathbb{F}_q$ be the finite field of $q$ elements. We show that \mathbb...
For a prime power $q$, let $\mathbb{F}_q$ be the finite field of $q$ elements. We show that \mathbb...
For E ⊂ Fqd, let Δ(E) denote the distance set determined by pairs of points in E. By using additive ...
For a prime power $q$, let $\mathbb{F}_q$ be the finite field of $q$ elements. We show that \mathbb...
For a prime power $q$, let $\mathbb{F}_q$ be the finite field of $q$ elements. We show that \mathbb...
Let G be the additive group of a finite field. J. Li and D. Wan determined the exact number of solut...
AbstractConsider an extension field Fqm=Fq(α) of the finite field Fq. Davenport proved that the set ...
Weuse bounds of exponential sums to derive new lower bounds on the number of distinct distances betw...
We use bounds of exponential sums to derive new lower bounds on the number of distinct distances bet...
AbstractFor the finite field Fq of q elements (q odd) and a quadratic non-residue (that is, a non-sq...
We use exponential sums to obtain new lower bounds on the number of distinct distances defined by al...
We investigate the size of the distance set determined by two subsets of finite dimensional vector s...
We study the Erdös/Falconer distance problem in vector spaces over finite fields. Let Fq be a finit...
This thesis establishes new quantitative results in several problems relating to the sum-product phe...
AbstractIn this paper we study the generalized Erdős–Falconer distance problems in the finite field ...
For a prime power $q$, let $\mathbb{F}_q$ be the finite field of $q$ elements. We show that \mathbb...
For a prime power $q$, let $\mathbb{F}_q$ be the finite field of $q$ elements. We show that \mathbb...
For E ⊂ Fqd, let Δ(E) denote the distance set determined by pairs of points in E. By using additive ...
For a prime power $q$, let $\mathbb{F}_q$ be the finite field of $q$ elements. We show that \mathbb...
For a prime power $q$, let $\mathbb{F}_q$ be the finite field of $q$ elements. We show that \mathbb...
Let G be the additive group of a finite field. J. Li and D. Wan determined the exact number of solut...
AbstractConsider an extension field Fqm=Fq(α) of the finite field Fq. Davenport proved that the set ...
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