The remainder in Weyl's law for random two-dimensional |
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Authors: | Y Petridis JA Toth |
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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 |
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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. |
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Keywords: | |
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