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 2023Show all

3 papers · 1 filter

math.NT2023★ 4 cited

Bounds for moments of $ℓ$ -torsion in class groups

Peter Koymans, Jesse Thorner

Fix a number field $k$ , integers $ℓ, n \geq 2$ , and a prime $p$ . For all $r \geq 1$ , we prove strong unconditional upper bounds on the $r$ -th moment of $ℓ$ -torsion in the ide…

math.NT2023

Malle's conjecture for fair counting functions

Peter Koymans, Carlo Pagano

We show that the naive adaptation of Malle's conjecture to fair counting functions is not true in general.

math.NT2023

Two-step nilpotent extensions are not anabelian

Peter Koymans, Carlo Pagano

We prove the existence of two non-isomorphic number fields $K$ and $L$ such that the maximal two-step nilpotent quotients of their absolute Galois groups are isomorphic. In particu…

Bounds for moments of ℓ-torsion in class groups

Malle's conjecture for fair counting functions

Two-step nilpotent extensions are not anabelian

Bounds for moments of $ℓ$ -torsion in class groups