Class numbers of totally real fields and applications to the Weber class number problem
نویسندگان
چکیده
منابع مشابه
On Shintani’s ray class invariant for totally real number fields
We introduce a ray class invariant X(C) for a totally real field, following Shintani’s work in the real quadratic case. We prove a factorization formula X(C) = X1(C) · · ·Xn(C) where each Xi(C) corresponds to a real place (Theorem 3.5). Although this factorization depends a priori on some choices (especially on a cone decomposition), we can show that it is actually independent of these choices ...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2014
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa164-4-4