5 citations · 49 across the 28 of their papers we have counts for
Showing math.NTShow all
3 papers · 1 filter
math.NT2015
A geometric approach to divergent points of higher dimensional Collatz mappings
Steffen Kionke
We define generalized Collatz mappings on free abelian groups of finite rank and study their iteration trajectories. Using geometric arguments we describe cones of points having a…
math.NT2013★ 3 cited
Lefschetz numbers of symplectic involutions on arithmetic groups
Steffen Kionke
The reduced norm-one group G of a central simple algebra is an inner form of the special linear group, and an involution on the algebra induces an automorphism of G. We study the a…
math.NT2012
On the growth of the first Betti number of arithmetic hyperbolic 3-manifolds
Steffen Kionke, Joachim Schwermer
We calculate the Lefschetz number of a Galois automorphism in the cohomology of certain arithmetic congruence groups arising from orders in quaternion algebras over number fields.…