Derives two-term Weyl formula for Dirichlet eigenvalues on planar annulus with O(μ^{2/3}) remainder (improved to Huxley-type under rational-slope assumption) via Bessel-zero approximations and lattice-point estimates; by-product for disks.
A., The analyticity of cross-product Bessel function zeros , Proc
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The Weyl formula for planar annuli
Derives two-term Weyl formula for Dirichlet eigenvalues on planar annulus with O(μ^{2/3}) remainder (improved to Huxley-type under rational-slope assumption) via Bessel-zero approximations and lattice-point estimates; by-product for disks.