A reciprocity law for prime geodesics

DOI10.1016/0022-314X(88)90101-1zbMath0653.10023MaRDI QIDQ1107566

Jeffrey Stopple

Publication date: 1988

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

zbMATH Keywords

reciprocity lawreal quadratic fieldmodular groupSelberg trace formulaclosed geodesiccomplete splittinghyperbolic conjugacy class

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items

Length spectra of the Hecke triangle groups, An analogue of Bauer’s theorem for closed orbits of skew products, Lifting properties of prime geodesics

Cites Work

• Class numbers of indefinite binary quadratic forms
• Number fields
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