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arxiv: 1712.07338 · v1 · pith:OJNERJL5new · submitted 2017-12-20 · 🧮 math.NT

Divisibility of class numbers of certain families of quadratic fields

classification 🧮 math.NT
keywords classfieldsnumbersquadraticdivisiblefamilieskishisome
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We construct some families of quadratic fields whose class numbers are divisible by $3.$ The main tools used are a trinomial introduced by Kishi and a parametrization of Kishi and Miyake of a family of quadratic fields whose class numbers are divisible by $3.$ At the end we compute class number of these fields for some small values and verify our results.

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