On an effective determination of a Shintani's decomposition of the cone \({\mathbb{R}}_ +^ n\)

DOI10.1215/kjm/1250519129zbMath0814.11055OpenAlexW1957719387MaRDI QIDQ1326738

Ryotaro Okazaki

Publication date: 22 June 1995

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250519129

zbMATH Keywords

generatorsfundamental domaintotally real fieldShintani decompositiongroup of totally positive unitsmodified Buchmann algorithm

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42)

Related Items (7)

On an invariant Möbius measure and the Gauss-Kuzmin face distribution ⋮ Attractor-repeller construction of Shintani domains for totally complex quartic fields ⋮ Computing Shintani domains ⋮ On lattice bases with special properties ⋮ Constructing multidimensional periodic continued fractions in the sense of Klein ⋮ Nonvanishing of twists of -functions attached to Hilbert modular forms ⋮ Shintani cones for complex cubic number fields

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