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We present {\it Hubble Space Telescope} {\it V,I} photometry of the centralregion of the LMC cluster NGC 1866, reaching magnitudes as faint as V=27 mag.We find evidence that the cluster luminosity function shows a strong dependenceon the distance from the cluster center, with a clear deficiency of lowluminosity stars in the inner region. We discuss a {\it global} clusterluminosity function as obtained from stars in all the investigated region,which appears in impressive agreement with the prediction from a Salpeter massdistribution. We also revisit the use of NGC 1866 as a probe for determiningthe efficiency of core overshooting, and conclude that a definitive answer tothis question is not possible from this cluster.Comment: AJ accepted, 16 pages, 19 figures, uses aastex.cl

The Luminosity Function of the Large Magellanic Cloud Globular Cluster NGC 1866