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arxiv: 1803.08785 · v1 · pith:6ZPHSITZnew · submitted 2018-03-23 · 🧮 math.NT

On rectangular unimodular matrices over the algebraic integers

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keywords integersalgebraicmatricesrectangularunimodularcomputedensityfield
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Let $n$ and $m$ be positive integers such that $n<m$. In this paper we compute the density of rectangular unimodular $n$ by $m$ matrices over the ring of algebraic integers of a number field.

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