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arxiv: 2310.07501 · v1 · pith:IO6HH7A3new · submitted 2023-10-11 · 🧮 math.NT

On the plus parts of the class numbers of cyclotomic fields

classification 🧮 math.NT
keywords classcyclotomicfieldsplusnumberspartssomeanother
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We exhibit some new families of cyclotomic fields which have non-trivial plus parts of their class numbers. We also prove the $3$ - divisibility of the plus part of the class number of another family consisting of infinitely many cyclotomic fields. At the end, we provide some numerical examples supporting our results.

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