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<p>The authors exhibit some new families of cyclotomic fields which have non-trivial plus parts of their class numbers. They 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, they provide some numerical examples supporting our results.</p>

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On the Plus Parts of the Class Numbers of Cyclotomic Fields

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • Kalyan Chakraborty,
  • Azizul Hoque

摘要

The authors exhibit some new families of cyclotomic fields which have non-trivial plus parts of their class numbers. They 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, they provide some numerical examples supporting our results.