Resolvent and lattice points on symmetric spaces of strictly negative curvature

DOI10.1007/s002080050331zbMath0972.11094OpenAlexW2078153575MaRDI QIDQ1962561

Nolan R. Wallach, Roelof Wichert Bruggeman, Roberto J. Miatello

Publication date: 12 July 2001

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050331

zbMATH Keywords

resolventspectrumasymptotic behaviourlattice point counting functionLaplaciansemisimple Lie grouppositive rootsRiemannian symmetric space

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Discrete subgroups of Lie groups (22E40) Differential geometry of symmetric spaces (53C35) Lattice points in specified regions (11P21) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (4)

An exact formula relating lattice points in symmetric spaces to the automorphic spectrum ⋮ A numerical study on exceptional eigenvalues of certain congruence subgroups of \(\mathrm {SO}(n,1)\) and \(\mathrm {SU}(n,1)\) ⋮ Quantitative ergodic theorems and their number-theoretic applications ⋮ An asymptotic formula for representations of integers by indefinite hermitian forms

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