6 citations · 14 across the 4 of their papers we have counts for
12 papers
On Malle's conjecture for nilpotent groups, I
Peter Koymans, Carlo Pagano
We develop an abstract framework for studying the strong form of Malle's conjecture for nilpotent groups in their regular representation. This framework is then used to prove t…
Malle's conjecture for nonic Heisenberg extensions
Étienne Fouvry, Peter Koymans
We prove Malle's conjecture for nonic Heisenberg extensions over . Our main algebraic result shows that the number of nonic Heisenberg extensions over with…
The -rank of class groups of
Peter Koymans, Adam Morgan, Harry Smit
Let be a quadratic extension. In this paper we study the -rank of the class group , where varies over squarefree rational integers. We…
A sharp upper bound for the -torsion of class groups of multiquadratic fields
Peter Koymans, Carlo Pagano
Let be a multiquadratic extension of and let be its narrow class group. Recently, the authors \cite{KP} gave a bound for …
Effective convergence of coranks of random Rédei matrices
Peter Koymans, Carlo Pagano
We give effective estimates for the -distance between the corank distribution of Rédei matrices and the measure predicted by the Cohen--Lenstra heuristics. To thi…
On the -rank of class groups of Dirichlet biquadratic fields
Étienne Fouvry, Peter Koymans, Carlo Pagano
We show that for of the odd, squarefree integers the -rank of is equal to , where is the number of prime d…