On Distribution of Poles of Eisenstein Series and the Length Spectrum of Hyperbolic Manifolds

DOI10.1093/imrn/rnv051zbMath1332.11057arXiv1402.4780OpenAlexW2963401460MaRDI QIDQ3460336

Dubi Kelmer

Publication date: 7 January 2016

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4780

zbMATH Keywords

hyperbolic manifoldfinite volumelength spectrum

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (4)

Fourier expansion of light‐cone Eisenstein series ⋮ Constructing 1-cusped isospectral non-isometric hyperbolic 3-manifolds ⋮ On the distribution of the \(a\)-values of the Selberg zeta-function associated to finite volume Riemann surfaces ⋮ Superzeta functions, regularized products, and the Selberg zeta function on hyperbolic manifolds with cusps

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