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 2020Show all

5 papers · 1 filter

math.NT2020

A sharp upper bound for the $2$ -torsion of class groups of multiquadratic fields

Peter Koymans, Carlo Pagano

Let $K$ be a multiquadratic extension of $Q$ and let $Cl^{+} (K)$ be its narrow class group. Recently, the authors \cite{KP} gave a bound for $∣ Cl^{+} (K) [2] ∣$ …

math.NT2020

Effective convergence of coranks of random Rédei matrices

Peter Koymans, Carlo Pagano

We give effective estimates for the $l^{1}$ -distance between the corank distribution of $r \times r$ Rédei matrices and the measure predicted by the Cohen--Lenstra heuristics. To thi…

math.NT2020★ 4 cited

Higher Rédei reciprocity and integral points on conics

Peter Koymans, Carlo Pagano

Fix an integer $l$ such that $∣ l ∣$ is a prime $3$ modulo $4$ . Let $d > 0$ be a squarefree integer and let $N_{d} (x, y)$ be the principal binary quadratic form of $\mathbb{Q}(\sqrt{d}…

math.NT2020

On the $4$ -rank of class groups of Dirichlet biquadratic fields

Étienne Fouvry, Peter Koymans, Carlo Pagano

We show that for $100%$ of the odd, squarefree integers $n > 0$ the $4$ -rank of $Cl (Q (i, n))$ is equal to $ω_{3} (n) - 1$ , where $ω_{3}$ is the number of prime d…

math.NT2020★ 1 cited

On Dirichlet biquadratic fields

Étienne Fouvry, Peter Koymans

We study the $4$ -rank of the ideal class group of $K_{n} := Q (- n, n)$ . Our main result is that for a positive proportion of the squarefree integers $n$ we have…

A sharp upper bound for the 2-torsion of class groups of multiquadratic fields

Effective convergence of coranks of random Rédei matrices

Higher Rédei reciprocity and integral points on conics

On the 4-rank of class groups of Dirichlet biquadratic fields

On Dirichlet biquadratic fields

A sharp upper bound for the $2$ -torsion of class groups of multiquadratic fields

On the $4$ -rank of class groups of Dirichlet biquadratic fields