18 citations · 24 across the 3 of their papers we have counts for
6 papers
Lehmer without Bogomolov
Fabien Pazuki, Niclas Technau, Martin Widmer
We construct fields of algebraic numbers that have the Lehmer property but not the Bogomolov property. This answers a recent implicit question of Pengo and the first author.
Bertini and Northcott
Fabien Pazuki, Martin Widmer
We prove a new Bertini-type Theorem with explicit control of the genus, degree, height, and the field of definition of the constructed curve. As a consequence we provide a general…
Averages and higher moments for the -torsion in class groups
Christopher Frei, Martin Widmer
We prove upper bounds for the average size of the -torsion of the class group of , as runs through certain natural families of number fields and $\…
Bounds for the -torsion in class groups
Martin Widmer
We prove for each integer an unconditional upper bound for the size of the -torsion subgroup of the class group of , which holds for all but a ze…
Average bounds for the -torsion in class groups of cyclic extensions
Christopher Frei, Martin Widmer
For all positive integers , we prove non-trivial bounds for the -torsion in the class group of , which hold for almost all number fields in certain families of c…
Counting lattice points and o-minimal structures
Fabrizio Barroero, Martin Widmer
Let be a lattice in , and let be a definable family in an o-minimal structure over . We give sharp estimates for the number of lattice points in…