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math.NT2021
Half-waves and spectral Riesz means on the 3-torus
Elliott Fairchild, Ethan Sussman
For a full rank lattice and , consider $N_{d,0;Λ,\mathbf{A}}(Σ) = \# ([Λ+\mathbf{A}] \cap Σ\mathbb{B}^d) = \# \{\mathbf{k}\in Λ…
math.SP2021★ 1 cited
Long time behavior of the half-wave trace and Weyl remainders
Ethan Sussman
Given a compact Riemannian manifold , Chazarain, Hörmander, Duistermaat, and Guillemin study the half-wave trace …