Motivated by the inverse Littlewood-Offord problem for linear forms, we study the concentration of quadratic forms. We show that if this form concentrates on a small ball with high probability, then the coefficients can be approximated by a sum of additive and algebraic structures
The Littlewood-Offord problem is a classical question in probability theory and discrete mathematics...
AbstractLet Q(x) = Q(x1, …, x4) be a quadratic form with integer coefficients and let p denote a pri...
Let $\|x\|$ denote the distance from $x\in\mathbb{R}$ to the set of integers $\mathbb{Z}$. The Littl...
Motivated by the inverse Littlewood-Offord problem for linear forms, we study the concentration of q...
Consider a quadratic polynomial $f\left(\xi_{1},\dots,\xi_{n}\right)$ of independent Bernoulli rando...
Abstract. Consider a random sum 1v1 +: : : + nvn, where 1; : : : ; n are i.i.d. random signs and v1;...
AbstractLet ηi, i=1,…,n, be iid Bernoulli random variables, taking values ±1 with probability 12. Gi...
The final version of this paper appears in: "Bulletin of American Mathematical Society" 31 (1994) 22...
The classical Erd\H{o}s-Littlewood-Offord theorem says that for nonzero vectors $a_1,\dots,a_n\in \m...
Albers et al. (2010) [2] showed that the problem min(x)(x - t)'A(x - t) subject to x'Bx + 2b'x = k w...
AbstractWe consider the 2n sums of the form Σϵiai with the ai's vectors, | ai | ⩾ 1, and ϵi = 0, 1 f...
For any given real number $\alpha$ with bounded partial quotients, we construct explicitly continuum...
This thesis is focused of two problems - one in additive combinatorics and one in combinatorial prob...
AbstractGauss used quadratic forms in his second proof of quadratic reciprocity. In this paper we be...
The paper deals with studying a connection of the Littlewood--Offord problem with estimating the con...
The Littlewood-Offord problem is a classical question in probability theory and discrete mathematics...
AbstractLet Q(x) = Q(x1, …, x4) be a quadratic form with integer coefficients and let p denote a pri...
Let $\|x\|$ denote the distance from $x\in\mathbb{R}$ to the set of integers $\mathbb{Z}$. The Littl...
Motivated by the inverse Littlewood-Offord problem for linear forms, we study the concentration of q...
Consider a quadratic polynomial $f\left(\xi_{1},\dots,\xi_{n}\right)$ of independent Bernoulli rando...
Abstract. Consider a random sum 1v1 +: : : + nvn, where 1; : : : ; n are i.i.d. random signs and v1;...
AbstractLet ηi, i=1,…,n, be iid Bernoulli random variables, taking values ±1 with probability 12. Gi...
The final version of this paper appears in: "Bulletin of American Mathematical Society" 31 (1994) 22...
The classical Erd\H{o}s-Littlewood-Offord theorem says that for nonzero vectors $a_1,\dots,a_n\in \m...
Albers et al. (2010) [2] showed that the problem min(x)(x - t)'A(x - t) subject to x'Bx + 2b'x = k w...
AbstractWe consider the 2n sums of the form Σϵiai with the ai's vectors, | ai | ⩾ 1, and ϵi = 0, 1 f...
For any given real number $\alpha$ with bounded partial quotients, we construct explicitly continuum...
This thesis is focused of two problems - one in additive combinatorics and one in combinatorial prob...
AbstractGauss used quadratic forms in his second proof of quadratic reciprocity. In this paper we be...
The paper deals with studying a connection of the Littlewood--Offord problem with estimating the con...
The Littlewood-Offord problem is a classical question in probability theory and discrete mathematics...
AbstractLet Q(x) = Q(x1, …, x4) be a quadratic form with integer coefficients and let p denote a pri...
Let $\|x\|$ denote the distance from $x\in\mathbb{R}$ to the set of integers $\mathbb{Z}$. The Littl...
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