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The remainder in Weyl's law for random two-dimensional
Authors:Y Petridis  JA Toth
Institution:(1) Department of Mathematics and Statistics, McGill University, Montreal, Canada, e-mail: petridis@math.mcgill.ca, CA;(2) Department of Mathematics and Statistics, McGill University, Montreal, Canada, e-mail: jtoth@math.mcgill.ca, CA
Abstract:We prove that the average order of the remainder in counting the number of points of a random lattice inside a disc of radius . Our proof is spectral in nature. Submitted: July 2001, Revised: August 2001, Revised: March 2002.
Keywords:
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