AN ARITHMETICAL INVARIANT OF ORBITS OF AFFINE ACTIONS AND ITS APPLICATION TO SIMILARITY CLASSES OF QUADRATIC SPACES

DOI10.1142/S1793042110003460zbMath1208.11056OpenAlexW1980197568MaRDI QIDQ3162622

Anthony C. Kable

Publication date: 20 October 2010

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

Full work available at URL: https://doi.org/10.1142/s1793042110003460

zbMATH Keywords

Arakelov class groupSteinitz classquadratic spaceequidistribution.replete class group

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Density theorems (11R45) Quadratic spaces; Clifford algebras (11E88)

Cites Work

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• On the density of unnormalized Tamagawa numbers of orthogonal groups. I.
• The mean value of the product of class numbers of paired quadratic fields. I
• Arithmetic of orthogonal groups
• Uniform distribution of the Steinitz invariants of quadratic and cubic extensions
• On the density of unnormalized Tamagawa numbers of orthogonal groups, II
• The discriminants of relative extensions and the existence of integral bases

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