10 citations · 54 across the 36 of their papers we have counts for
6 papers · 1 filter
Superscars for Arithmetic Point Scatterers II
Pär Kurlberg, Stephen Lester, Lior Rosenzweig
We consider momentum push-forwards of measures arising as quantum limits (semi-classical measures) of eigenfunctions of a point scatterer on the standard flat torus $\mathbb T^2 =…
Non-gaussian waves in Seba's billiard
Pär Kurlberg, Henrik Ueberschaer
The Seba billiard, a rectangular torus with a point scatterer, is a popular model to study the transition between integrability and chaos in quantum systems. Whereas such billiards…
A note on multiplicative automatic sequences, II
Oleksiy Klurman, Pär Kurlberg
We prove that any -automatic multiplicative function either essentially coincides with a Dirichlet character, or vanishes on all sufficiently large p…
A note on multiplicative automatic sequences
Oleksiy Klurman, Pär Kurlberg
We prove that any -automatic completely multiplicative function essentially coincides with a Dirichlet character. This answers a question of J. P. Al…
On the number of products which form perfect powers and discriminants of multiquadratic extensions
Régis de la Bretèche, Pär Kurlberg, Igor E. Shparlinski
We study some counting questions concerning products of positive integers which form a non-zero perfect square, or more generally, a perfect -th power. We obt…
The Chebotarev density theorem for function fields -- incomplete intervals
Pär Kurlberg, Lior Rosenzweig
We prove a Polya-Vinogradov type variation of the the Chebotarev density theorem for function fields over finite fields valid for "incomplete intervals" , p…