P. Koymans

activity

20162026

16

-rank of class groups of

Q (- 2 p)

for primes

p \equiv 1 mod 4

11 citations · 57 across the 34 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.NT2021★ 1 cited

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 $G$ in their regular representation. This framework is then used to prove t…

math.NT2021★ 6 cited

Malle's conjecture for nonic Heisenberg extensions

Étienne Fouvry, Peter Koymans

We prove Malle's conjecture for nonic Heisenberg extensions over $Q$ . Our main algebraic result shows that the number of nonic Heisenberg extensions over $Q$ with…

math.NT2021★ 1 cited

The $4$ -rank of class groups of $K (n)$

Peter Koymans, Adam Morgan, Harry Smit

Let $K / Q$ be a quadratic extension. In this paper we study the $4$ -rank of the class group $Cl (K (n))$ , where $n$ varies over squarefree rational integers. We…

On Malle's conjecture for nilpotent groups, I

Malle's conjecture for nonic Heisenberg extensions

The 4-rank of class groups of K(n​)

The $4$ -rank of class groups of $K (n)$