On the proof of Humbert's volume formula

DOI10.1007/s002290050039zbMath0897.11013OpenAlexW2006506406MaRDI QIDQ1387099

Stefan Kühnlein, Fritz J. Grunewald

Publication date: 19 October 1998

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156386

zbMATH Keywords

Dedekind zeta functionhyperbolic volumeHumbert's volume formulaJFM 47.0138.01volume of fundamental domains

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Structure of modular groups and generalizations; arithmetic groups (11F06) Zeta functions and (L)-functions (11S40)

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Geometric cycles, arithmetic groups and their cohomology, Hyperbolic orbifolds of minimal volume, Arithmetic Aspects of Bianchi Groups, Ideal Uniform Polyhedra in and Covolumes of Higher Dimensional Modular Groups