14 citations · 98 across the 24 of their papers we have counts for
4 papers · 1 filter
Arithmetic progressions in binary quadratic forms and norm forms
Christian Elsholtz, Christopher Frei
We prove an upper bound for the length of an arithmetic progression represented by an irreducible integral binary quadratic form or a norm form, which depends only on the form and…
Number fields with prescribed norms
Christopher Frei, Daniel Loughran, Rachel Newton +2
We study the distribution of extensions of a number field with fixed abelian Galois group , from which a given finite set of elements of are norms. In particular, we sho…
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 $\…
Vinogradov's three primes theorem with primes having given primitive roots
Christopher Frei, Peter Koymans, Efthymios Sofos
The first purpose of our paper is to show how Hooley's celebrated method leading to his conditional proof of the Artin conjecture on primitive roots can be combined with the Hardy-…