The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

Zeitschrift für Analysis und ihre Anwendungen


Full-Text PDF (1102 KB) | Metadata | Table of Contents | ZAA summary
Volume 11, Issue 3, 1992, pp. 343–358
DOI: 10.4171/ZAA/602

Published online: 1992-09-30

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

Reinhard Schuster[1]

(1) Universität Leipzig, Germany

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.

Keywords: Length spectrum, hyperbolic space form, Selberg trace formula

Schuster Reinhard: Spectral Estimates for Compact Hyperbolic Space Forms and the Selberg Zeta Function for $p$-Spectra. Part I. Z. Anal. Anwend. 11 (1992), 343-358. doi: 10.4171/ZAA/602