Large scale magnetic fields and the number of cosmic ray sources above the Greisen-Zatsepin-Kuzmin cutoff

We present numerical simulations for the two-point correlation function and the angular power spectrum of nucleons above 10¹⁹eV injected by a discrete distribution of continuously emitting sources which follow a simple approximation to the profile of the Local Supercluster. We develop a method to constrain the number of sources necessary to reproduce the observed sky distribution of ultrahigh energy cosmic rays, as a function of the strength of the large scale cosmic magnetic fields in the Local Supercluster. While for fields B0.05μG the Supercluster source distribution appears inconsistent with the data for any number of sources, fields of strength B0.3μG could reproduce the observed data with a number of sources around 10.