Cyclotomic units and Greenberg's conjecture for real quadratic fields
نویسنده
چکیده
We give new examples of real quadratic fields k for which the Iwasawa invariant λ3(k) and μ3(k) are both zero by calculating cyclotomic units of real cyclic number fields of degree 18.
منابع مشابه
A capitulation problem and Greenberg's conjecture on real quadratic fields
We give a sufficient condition in order that an ideal of a real quadratic field F capitulates in the cyclotomic Z3-extension of F by using a unit of an intermediate field. Moreover, we give new examples of F ’s for which Greenberg’s conjecture holds by calculating units of fields of degree 6, 18, 54
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عنوان ژورنال:
- Math. Comput.
دوره 65 شماره
صفحات -
تاریخ انتشار 1996