Spectral Estimates for Compact Hyperbolic Space Forms and the Selberg Zeta Function for $p$-Spectra. Part I

Reinhard Schuster

doi:10.4171/zaa/602

JournalszaaVol. 11, No. 3pp. 343–358

Spectral Estimates for Compact Hyperbolic Space Forms and the Selberg Zeta Function for $p$ -Spectra. Part I

Reinhard Schuster
Universität Leipzig, Germany

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Abstract

We prove an asymptotic estimation for the length spectrum with certain weights for a compact hyperbolic space form. Thereby the Selberg trace formula and a Landau difference method is used.

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Reinhard Schuster, Spectral Estimates for Compact Hyperbolic Space Forms and the Selberg Zeta Function for $p$ -Spectra. Part I. Z. Anal. Anwend. 11 (1992), no. 3, pp. 343–358

DOI 10.4171/ZAA/602