A generalization of Gauss' theorem on the genera of quadratic forms

DOI10.3792/pjaa.61.109zbMath0578.12003OpenAlexW2033598533MaRDI QIDQ1066191

Takashi Ono

Publication date: 1985

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.61.109

zbMATH Keywords

class numbergenus class numberGauss formulaalgebraic torusTamagawa numberformula of Gauss

Mathematics Subject Classification ID

Iwasawa theory (11R23) Adèle rings and groups (11R56) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items

Class number relations of algebraic tori. I ⋮ Class numbers of multinorm-one tori ⋮ Cokernels of restriction maps and subgroups of norm one, with applications to quadratic Galois coverings

Cites Work

• Unnamed Item
• On some class number relations of algebraic tori
• Arithmetic of algebraic tori
• On the Tamagawa number of algebraic tori