Joachim König

activity

20092026

most citedSeptic equations are solvable by 2-fold origami

2 citations · 4 across the 21 of their papers we have counts for

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3 papers · 1 filter

math.NT2025

A note on monogenic even polynomials

Joachim König

We extend several predecessor works on even sextic monogenic polynomials. In particular, we prove a conjecture of Lenny Jones, thereby classifying even sextic monogenic polynomials…

math.NT2025

Unramified extensions of quadratic number fields with Galois group $2. A_{n}$

Joachim König

We realize infinitely many covering groups $2. A_{n}$ (where $A_{n}$ is the alternating group) as the Galois group of everywhere unramified Galois extensions over infinitely many quadra…

math.NT2025

Integrally Hilbertian rings and the polynomial Schinzel hypothesis

Angelot Behajaina, Pierre Dèbes, Joachim König

The classical Hilbert specialization property is a field-theoretic tool ensuring that polynomial irreducibility over a field is preserved under specialization of some of the variab…

A note on monogenic even polynomials

Unramified extensions of quadratic number fields with Galois group 2.An​

Integrally Hilbertian rings and the polynomial Schinzel hypothesis

Unramified extensions of quadratic number fields with Galois group $2. A_{n}$