3 papers
math.DS2025
Power-free points in quadratic number fields: Stabiliser, dynamics and entropy
Michael Baake, Alvaro Bustos, Andreas Nickel
The sets of -free integers in general quadratic number fields are studied, with special emphasis on (extended) symmetries and their impact on the topological dynamical systems i…
math.NT2024
Integrality of Stickelberger elements and annihilation of natural Galois modules
Nils Ellerbrock, Andreas Nickel
To each Galois extension of number fields with Galois group and each integer one can associate Stickelberger elements in the centre of the rational group ring…
math.NT2024
An unconditional proof of the abelian equivariant Iwasawa main conjecture and applications
Henri Johnston, Andreas Nickel
Let be an odd prime. We give an unconditional proof of the equivariant Iwasawa main conjecture for totally real fields for every admissible one-dimensional -adic Lie extensi…