Equidistribution in supersingular Hecke orbits
Abstract
We prove an equidistribution result for Hecke operators acting on the basic stratum of certain Shimura varieties. We relate the rate of convergence to the bounds from the Ramanujan conjecture of certain cuspidal automorphic representations on Gln for which this conjecture is known, and therefore we obtain optimal estimates on the rate of convergence.
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