Martin Widmer

activity

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.NT2026

Height lower bounds for elements of highly composite rings

Siu Hang Man, Niclas Technau, Martin Widmer +1

Let $Q^{(d)}$ be the composite field of all number fields of degree at most $d$ . In 2001 Bombieri and Zannier proved that $Q^{(2)}$ has the Northcott property and…

math.NT2026

A short remark on the $ℓ$ -torsion part of class groups

Martin Widmer

In a 2008 paper Ellenberg suggested a strategy to improve the known upper bounds for the $ℓ$ -torsion part of class groups of number fields of fixed degree $d$ . Motivated by this…

math.NT2026

Rational integers as sums of units -- the quadratic case

Christopher Frei, Martin Widmer, Volker Ziegler

How many natural numbers below $X$ can be written as a sum of $k$ units of the ring of integers of a given number field? We give the asymptotics as $X$ gets large for quadratic num…

Height lower bounds for elements of highly composite rings

A short remark on the ℓ-torsion part of class groups

Rational integers as sums of units -- the quadratic case

A short remark on the $ℓ$ -torsion part of class groups