AbstractWe show that for any subset E⊆Fqd with |E|≫qd−1+2d, the number of singular matrices whose rows are in E is close to the expected number (1+o(1))|E|dq
AbstractWe present a formula enumerating matrices over a finite field of a given rank and a given nu...
AbstractWe study a Szemerédi–Trotter type theorem in finite fields. We then use this theorem to obta...
Let $g$ be a random matrix distributed according to uniform probability measure on the finite genera...
AbstractWe show that for any subset E⊆Fqd with |E|≫qd−1+2d, the number of singular matrices whose ro...
AbstractFor a prime p, we consider some natural classes of matrices over a finite field Fp of p elem...
AbstractWe consider matrices whose entries are power series over a finite field. The coefficients of...
AbstractLet Fn be the ring of n × n matrices over the finite field F; let o(Fn) be the number of ele...
AbstractThe true formula is given for the probability that an n × n matrix over a finite field has d...
AbstractAn expression is derived for the probability that the determinant of an n x n matrix over a ...
In this paper we give a simple, short, and self-contained proof for a non-trivial upper bound on the...
AbstractWe use an upper bound on the number of zeros of sparse polynomials over a finite field Fq to...
We study the distribution of singular and unimodular matrices in sumsets in matrix rings over finite...
AbstractThe probability of the title is evaluated and related to an expression involving theta funct...
AbstractLet the set T = {(x1, x2,…, xn): xi = 0, 1}. Since the elements of T can be seen as binary r...
AbstractThe probability that the product of l square matrices of size n over a finite field with q e...
AbstractWe present a formula enumerating matrices over a finite field of a given rank and a given nu...
AbstractWe study a Szemerédi–Trotter type theorem in finite fields. We then use this theorem to obta...
Let $g$ be a random matrix distributed according to uniform probability measure on the finite genera...
AbstractWe show that for any subset E⊆Fqd with |E|≫qd−1+2d, the number of singular matrices whose ro...
AbstractFor a prime p, we consider some natural classes of matrices over a finite field Fp of p elem...
AbstractWe consider matrices whose entries are power series over a finite field. The coefficients of...
AbstractLet Fn be the ring of n × n matrices over the finite field F; let o(Fn) be the number of ele...
AbstractThe true formula is given for the probability that an n × n matrix over a finite field has d...
AbstractAn expression is derived for the probability that the determinant of an n x n matrix over a ...
In this paper we give a simple, short, and self-contained proof for a non-trivial upper bound on the...
AbstractWe use an upper bound on the number of zeros of sparse polynomials over a finite field Fq to...
We study the distribution of singular and unimodular matrices in sumsets in matrix rings over finite...
AbstractThe probability of the title is evaluated and related to an expression involving theta funct...
AbstractLet the set T = {(x1, x2,…, xn): xi = 0, 1}. Since the elements of T can be seen as binary r...
AbstractThe probability that the product of l square matrices of size n over a finite field with q e...
AbstractWe present a formula enumerating matrices over a finite field of a given rank and a given nu...
AbstractWe study a Szemerédi–Trotter type theorem in finite fields. We then use this theorem to obta...
Let $g$ be a random matrix distributed according to uniform probability measure on the finite genera...
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