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Hung, Fan-Yun; Yu, Chia-Fu
Journal of number theory, 20/May , Letnik: 258Journal Article
We present a formula for the class number of a multinorm one torus TL/k associated to any étale algebra L over a global field k. This is deduced from a formula for analogues of invariants introduced by T. Ono, which are interpreted as a generalization of Gauss genus theory. This paper includes the variants of Ono's invariant for arbitrary S-ideal class numbers and the narrow version, generalizing results of Katayama, Morishita, Ono and Sasaki.
