3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.SP2011★ 1 cited
Eigenvalue bounds for Schrödinger operators with a homogeneous magnetic field
Rupert L. Frank, Rikard Olofsson
We prove Lieb-Thirring inequalities for Schrödinger operators with a homogeneous magnetic field in two and three space dimensions. The inequalities bound sums of eigenvalues by a s…
math.NT2007★ 3 cited
Large supremum norms and small Shannon entropy for Hecke eigenfunctions of quantized cat maps
Rikard Olofsson
This paper concerns the behavior of eigenfunctions of quantized cat maps and in particular their supremum norm. We observe that for composite integer values of N, the inverse of Pl…
math.NT2006
Local Riemann Hypothesis for complex numbers
Rikard Olofsson
In this paper a special class of local zeta functions is studied. The main theorem states that the functions have all zeros on the line Re (s)=1/2. This is a natural generalization…