Martin Widmer

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20232026

most citedOn the Northcott property for infinite extensions

3 citations · 4 across the 7 of their papers we have counts for

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math.NT2023

Small generators of abelian number fields

Martin Widmer

We show that for each abelian number field $K$ of sufficiently large degree $d$ there exists an element $α \in K$ with $K=\IQ(α)$ and absolute Weil height $H (α) ≪_{d} ∣ Δ_{K} ∣^{1/2 d}$ ,…

math.NT2023★ 3 cited

On the Northcott property for infinite extensions

Martin Widmer

We start with a brief survey on the Northcott property for subfields of the algebraic numbers $\Qbar$. Then we introduce a new criterion for its validity (refining the author's pre…