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arxiv: math/0703522 · v2 · pith:CJ45GKIDnew · submitted 2007-03-19 · 🧮 math.NT

On the Linear Independence of Roots

classification 🧮 math.NT
keywords independentlinearlyrootsextendedfieldsgeneralindependencelinear
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A set of real $n$th roots that is pairwise linearly independent over the rationals must also be linearly independent. We show how this result may be extended to more general fields.

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