On the remainder in the Weyl formula for the Euclidean disk

Details On the remainder in the Weyl formula for the Euclidean disk On the remainder in the Weyl formula for the Euclidean disk

2011-04-12

arxiv.org/abs/1104.2233v2

Physics

Mathematical Physics

Scientific paper

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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