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 2016Show all

3 papers · 1 filter

math.NT2016★ 3 cited

On the equation $x + y = 1$ in finitely generated groups in positive characteristic

Peter Koymans, Carlo Pagano

Let $K$ be a field of characteristic $p > 0$ and let $G$ be a subgroup of $K^{*} \times K^{*}$ with $dim_{Q} (G \otimes_{Z} Q) = r$ finite. Then Volo…

math.NT2016★ 5 cited

Spins of prime ideals and the negative Pell equation $x^{2} - 2 p y^{2} = - 1$

Peter Koymans, Djordjo Milovic

Let $p \equiv 1 mod 4$ be a prime number. We use a number field variant of Vinogradov's method to prove density results about the following four arithmetic invariants: (i) $16$ -ran…

math.NT2016

The generalized Catalan equation in positive characteristic

Peter Koymans

Let $K = F_{p} (z_{1}, \dots, z_{r})$ be a finitely generated field over $F_{p}$ . In this article we study the generalized Catalan equation $a x^{m} + b y^{n} = 1$ in $x, y \in…

On the equation x+y=1 in finitely generated groups in positive characteristic

Spins of prime ideals and the negative Pell equation x2−2py2=−1

The generalized Catalan equation in positive characteristic

On the equation $x + y = 1$ in finitely generated groups in positive characteristic

Spins of prime ideals and the negative Pell equation $x^{2} - 2 p y^{2} = - 1$