L. Fukshansky

activity

20042026

most citedBounds on generalized Frobenius numbers

18 citations · 54 across the 57 of their papers we have counts for

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Showing 2004Show all

3 papers · 1 filter

math.NT2004

Siegel's lemma with additional conditions

Lenny Fukshansky

Let $K$ be a number field, and let $W$ be a subspace of $K^{N}$ , $N \geq 1$ . Let $V_{1}, ..., V_{M}$ be subspaces of $K^{N}$ of dimension less than dimension of $W$ . We prove the existence o…

math.NT2004

Integral points of small height outside of a hypersurface

Lenny Fukshansky

Let $F$ be a non-zero polynomial with integer coefficients in $N$ variables of degree $M$ . We prove the existence of an integral point of small height at which $F$ does not vanish.…

math.NT2004

Small Zeros of Quadratic Forms with Linear Conditions

Lenny Fukshansky

Given a quadratic form and $M$ linear forms in $N + 1$ variables with coefficients in a number field $K$ , suppose that there exists a point in $K^{N + 1}$ at which the quadratic form v…