14 citations · 98 across the 24 of their papers we have counts for
30 papers · 1 filter
Some applications of the quasi-Riemann hypothesis to class groups and small generators of number fields
Christopher Frei, Efthymios Sofos, Martin Widmer
We prove an effective version of the Chebotarev density theorem, conditional on the quasi-Riemann hypothesis for the Dedekind zeta function. Drawing on recent breakthroughs of Open…
Random conic bundle surfaces satisfy the Hasse principle
Christopher Frei, Efthymios Sofos
We establish the Hasse principle for of conic bundles over .
Linear constellations in primes with arithmetic restrictions
Christopher Frei, Joachim König, Magdaléna Tinková
We prove analogues of the theorem of Green and Tao on linear constellations in primes, in which the primes under consideration are restricted by certain arithmetic conditions. Our…
The Hasse norm principle for abelian extensions -- corrigendum
Christopher Frei, Daniel Loughran, Rachel Newton
The proofs of Theorem 1.1 and Theorem 1.5(2) in the authors' paper 'The Hasse norm principle for abelian extensions' are incorrect. We point out the mistakes and provide correct pr…
Distribution of genus numbers of abelian number fields
Christopher Frei, Daniel Loughran, Rachel Newton
We study the quantitative behaviour of genus numbers of abelian extensions of number fields with given Galois group. We prove an asymptotic formula for the average value of the gen…
Constructing abelian extensions with prescribed norms
Christopher Frei, Rodolphe Richard
Given a number field , a finite abelian group and finitely many elements , we construct abelian extensions with Galois group that realise all…