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On the remainder in the Weyl formula for the Euclidean disk

Published 12 Apr 2011 in math-ph, math.CA, math.MP, and math.SP | (1104.2233v2)

Abstract: We prove a 2-terms Weyl formula for the counting function N(mu) of the spectrum of the Laplace operator in the Euclidean disk with a sharp remainder estimate O(mu2/3).

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