activity
20072026
most citedPeriodic orbits of linear endomorphisms on the 2-torus and its lattices

7 citations · 16 across the 9 of their papers we have counts for

collaborators

9 papers

math.NT2026

On uniqueness in equivariant Iwasawa theory

Jurgen Ritter, Alfred Weiss

This sequel to our paper `On the ``main conjecture'' of equivariant Iwasawa theory' studies the possibility of the vanishing of , when is the total ring of fractions…

math.NT2010★ 2 cited

On the 'main conjecture' of equivariant Iwasawa theory

Jürgen Ritter, Alfred Weiss

Assuming that Iwasawa's -invariant vanishes, we prove the 'main conjecture' of equivariant Iwasawa theory, at odd prime numbers , for arbitrary extensions of tota…

math.NT2010★ 6 cited

Congruences between abelian pseudomeasures, II

Jürgen Ritter, Alfred Weiss

We extend the main result of [Math. Res. Lett. 15 (2008), 715-725] to Galois extensions L/K of totally real number fields of arbitrary odd prime power degree, thereby offering supp…

math.NT2009

Numerical evidence toward a 2-adic equivariant "main conjecture"

Xavier-François Roblot, Alfred Weiss

Recently Ritter and Weiss introduced an equivariant "main conjecture" than generalizes and refines the Main Conjecture of Iwasawa theory. In this paper, we show that, for the prime…

math.DS2008★ 7 cited

Periodic orbits of linear endomorphisms on the 2-torus and its lattices

Michael Baake, John A. G. Roberts, Alfred Weiss

Counting periodic orbits of endomorphisms on the 2-torus is considered, with special focus on the relation between global and local aspects and between the dynamical zeta function…

math.NT2007

Equivariant Iwasawa theory: an example

Jürgen Ritter, Alfred Weiss

The equivariant `main conjecture' of Iwasawa theory is shown to hold for a Galois extension of number fields with Galois group an -adic pro- Lie group of dimension 1 co…