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

collaborators

Showing 2024Show all

3 papers · 1 filter

math.NT2024

Critical Point Criteria and Dynamically Monogenic Polynomials

Joachim König, Hanson Smith, Zack Wolske

Let $K$ be a number field with ring of integers $O_{K}$ , and let $f (x) \in O_{K} [x]$ be a monic, irreducible polynomial. We establish necessary and sufficient conditi…

math.NT2024

Linear constellations in primes with arithmetic restrictions

Christopher Frei, Joachim König, Magdaléna Tinková

We prove analogues of the theorem of Green and Tao on linear constellations in primes, in which the primes under consideration are restricted by certain arithmetic conditions. Our…

math.NT2024

Polynomial compositions with large monodromy groups and applications to arithmetic dynamics

Joachim König, Danny Neftin, Shai Rosenberg

For a composition $f = f_{1} \circ \dots \circ f_{r}$ of polynomials $f_{i} \in Q [x]$ of degrees $d_{i} \geq 5$ with alternating or symmetric monodromy group, we show that the monodromy…