The Reciprocity of Dedekind Sums and the Factor Set for the Universal Covering Group of SL(2, R)

DOI10.1017/S0027763000013301zbMath0192.39601MaRDI QIDQ5587220

Tetsya Asai

Publication date: 1970

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Dedekind sumsreciprocitySL(2,R)factor set for universal covering group

Mathematics Subject Classification ID

Cohomology of groups (20J06) Dedekind eta function, Dedekind sums (11F20)

Related Items (16)

A relation between Dedekind sums and Kloosterman sums ⋮ Equidistribution of generalized Dedekind sums and exponential sums ⋮ Modular Dedekind symbols associated to Fuchsian groups and higher-order Eisenstein series ⋮ ON MODEL-THEORETIC CONNECTED GROUPS ⋮ Applications of the theory of modular forms to number theory ⋮ A hyperbolic analogue of the Rademacher symbol ⋮ Amenability, definable groups, and automorphism groups ⋮ Euler and Maslov cocycles ⋮ Sur les sommes de Dedekind attachées aux groupes de congruence ⋮ Triple product identities for the Jacobi symbol ⋮ On model-theoretic connected components in some group extensions ⋮ Definable topological dynamics and real Lie groups ⋮ Sur la cohomologie réelle des groupes de Lie simples réels ⋮ Reciprocity of Dedekind sums and the Euler class ⋮ On generalized Dedekind sums attached to Dirichlet characters ⋮ Modular knots, automorphic forms, and the Rademacher symbols for triangle groups

Cites Work

• Beziehungen zwischen Dedekindschen Summen
• Über die Transformation der Logarithmen der Thetafunktionen
• Topological covering of SL(2) over a local field
• Zur analytischen Theorie der Grenzkreisgruppen. I. Grenzkreisgruppen und Riemannsche Flächen; Theorie der Faktoren- und Multiplikatorsysteme komplexer Dimension
• Theorems on Dedekind Sums

This page was built for publication: The Reciprocity of Dedekind Sums and the Factor Set for the Universal Covering Group of SL(2, R)