The mean value of the product of class numbers of paired quadratic fields, II

Anthony C. KABLE; Akihiko YUKIE

doi:10.2969/jmsj/1191419001

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

The mean value of the product of class numbers of paired quadratic fields, II

Anthony C. KABLE, Akihiko YUKIE

著者情報

キーワード: density theorem, prehomogeneous vector spaces, binary Hermitian forms, local zeta functions

ジャーナルフリー

2003 年 55 巻 3 号 p. 739-764

DOI https://doi.org/10.2969/jmsj/1191419001

詳細

抄録

Let k be a number field and ˜{k} a fixed quadratic extension of k. In this paper and its companions, we find the mean value of the product of class numbers and regulators of two quadratic extensions F, F^*≠˜{k} contained in the biquadratic extensions of k containing ˜{k}.