Traces in arithmetic Fuchsian groups

DOI10.1006/jnth.1997.2168zbMath0894.11026OpenAlexW2001219047MaRDI QIDQ1372592

Stefan Johansson

Publication date: 18 November 1997

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1997.2168

zbMATH Keywords

Fuchsian groupquaternion algebralength spectrumBass ordersset of traces

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Cites Work

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• Arithmétique des algèbres de quaternions
• A characterization of arithmetic Fuchsian groups
• Representations by spinor genera
• Die Ähnlichkeitsklassen indefiniter Gitter
• On orders in quaternion algebras
• Periodic orbits in arithmetical chaos on hyperbolic surfaces

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