Further remarks on the exponent of convergence of Poincaré series

DOI10.2748/tmj/1178228995zbMath0505.20036OpenAlexW2144375679MaRDI QIDQ1835988

Samuel James Patterson

Publication date: 1983

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228995

zbMATH Keywords

exponent of convergencefree productgroups of automorphisms of hyperbolic spaceKlein Combination Theorem

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Infinite automorphism groups (20B27)

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Cites Work

• Unnamed Item
• The density at infinity of a discrete group of hyperbolic motions
• The exponent of convergence of Poincaré series on some Kleinian groups
• The exponent of convergence of Poincaré series
• Some Examples of Fuchsian Groups