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 2005 · math.NTShow all

4 papers · 2 filters

math.NT2005

Frobenius problem and the covering radius of a lattice

Lenny Fukshansky, Sinai Robins

Let $N \geq 2$ and let $1 < a_{1} < ... < a_{N}$ be relatively prime integers. Frobenius number of this $N$ -tuple is defined to be the largest positive integer that cannot be expressed…

math.NT2005★ 2 cited

Search bounds for zeros of polynomials over the algebraic closure of Q

Lenny Fukshansky

We discuss existence of explicit search bounds for zeros of polynomials with coefficients in a number field. Our main result is a theorem about the existence of polynomial zeros of…

math.NT2005★ 1 cited

Small zeros of quadratic forms over the algebraic closure of Q

Lenny Fukshansky

Let $N \geq 2$ be an integer, $F$ a quadratic form in $N$ variables over $Q ˉ$ , and $Z \subseteq Q ˉ^{N}$ an $L$ -dimensional subspace, $1 \leq L \leq N$ . We p…

math.NT2005

On effective Witt decomposition and Cartan-Dieudonne theorem

Lenny Fukshansky

Let $K$ be a number field, and let $F$ be a symmetric bilinear form in $2 N$ variables over $K$ . Let $Z$ be a subspace of $K^{N}$ . A classical theorem of Witt states that the bilinear…