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On the remainder in the Weyl formula for the Euclidean disk

Yves Colin de Verdière (2010/2011)

Séminaire de théorie spectrale et géométrie

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

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