3 papers
math.NT2025
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.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
Critical Point Criteria and Dynamically Monogenic Polynomials
Joachim König, Hanson Smith, Zack Wolske
Let be a number field with ring of integers , and let be a monic, irreducible polynomial. We establish necessary and sufficient conditi…