Joachim König

activity

20152026

most citedSeptic equations are solvable by 2-fold origami

2 citations · 4 across the 15 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.NT2021

Unramified extensions of quadratic number fields with Galois group $S L_{2} (7)$

Joachim König

We provide an infinite family of quadratic number fields with everywhere unramified Galois extensions of Galois group $S L_{2} (7)$ . To my knowledge, this is the first instance of infi…

math.NT2021

On parametric and generic polynomials with one parameter

Pierre Dèbes, Joachim König, François Legrand +1

Given fields $k \subseteq L$ , our results concern one parameter $L$ -parametric polynomials over $k$ , and their relation to generic polynomials. The former are polynomials $P(T,Y) \…

Unramified extensions of quadratic number fields with Galois group SL2​(7)

On parametric and generic polynomials with one parameter

Unramified extensions of quadratic number fields with Galois group $S L_{2} (7)$