  The single-particle densitity of states (DOS) for the Pauli and the
Schr\"{o}dinger Hamiltonians in the presence of an Aharonov-Bohm potential is
calculated for different values of the particle magnetic moment. The DOS is a
symmetric and periodic function of the flux. The Krein-Friedel formula can be
applied to this long-ranged potential when regularized with the zeta function.
We have found that whenever a bound state is present in the spectrum it is
always accompanied by a resonance. The shape of the resonance is not of the
Breit-Wigner type. The differential scattering cross section is asymmetric if a
bound state is present and gives rise to the Hall effect. As an application,
propagation of electrons in a dilute vortex limit is considered and the Hall
resistivity is calculated.
