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 2018Show all

4 papers · 1 filter

math.NT2018★ 6 cited

On the distribution of $Cl (K) [l^{\infty}]$ for degree $l$ cyclic fields

Peter Koymans, Carlo Pagano

Using a recent breakthrough of Alexander Smith, we prove that $l^{\infty}$ -class groups of cyclic degree $l$ fields have the distribution conjectured by Gerth under GRH.

math.NT2018

Joint distribution of spins

Peter Koymans, Djordjo Milovic

We answer a question of Iwaniec, Friedlander, Mazur and Rubin on the joint distribution of spin symbols. As an application we give a negative answer to a conjecture of Cohn and Lag…

math.NT2018★ 4 cited

The $16$ -rank of $Q (- p)$

Peter Koymans

Recently, a density result for the $16$ -rank of $Cl (Q (- p))$ was established when $p$ varies among the prime numbers, assuming a short character sum conjectur…

math.NT2018

Unit equations and Fermat surfaces in positive characteristic

Peter Koymans, Carlo Pagano

In this article we study the three-variable unit equation $x + y + z = 1$ to be solved in $x, y, z \in O_{S}^{*}$ , where $O_{S}^{*}$ is the $S$ -unit group of some…

On the distribution of Cl(K)[l∞] for degree l cyclic fields

Joint distribution of spins

The 16-rank of Q(−p​)

Unit equations and Fermat surfaces in positive characteristic

On the distribution of $Cl (K) [l^{\infty}]$ for degree $l$ cyclic fields

The $16$ -rank of $Q (- p)$