The relative class number of certain imaginary abelian number fields of odd conductors
نویسندگان
چکیده
منابع مشابه
Computation of Relative Class Numbers of Imaginary Abelian Number Fields
Mathematics Subject Classi cation: Primary, 11R20, 11R29, 11Y40; Secondary, 11M20, 11R42.
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Let N be an imaginary abelian number field. We know that hN , the relative class number of N , goes to infinity as fN , the conductor of N , approaches infinity, so that there are only finitely many imaginary abelian number fields with given relative class number. First of all, we have found all imaginary abelian number fields with relative class number one: there are exactly 302 such fields. I...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1996
ISSN: 0386-2194
DOI: 10.3792/pjaa.72.64