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arxiv: 1104.2233 · v2 · pith:TC7EK7HMnew · submitted 2011-04-12 · 🧮 math-ph · math.CA· math.MP· math.SP

On the remainder in the Weyl formula for the Euclidean disk

classification 🧮 math-ph math.CAmath.MPmath.SP
keywords diskeuclideanformularemainderweylcountingestimatefunction
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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(mu^2/3).

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