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arXiv · 2310.07501

On the plus parts of the class numbers of cyclotomic fields

Kalyan Chakraborty·Azizul Hoque
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Abstract

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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Kalyan Chakraborty, Azizul Hoque. 2023-10-11. On the plus parts of the class numbers of cyclotomic fields. https://arxiv.org/abs/2310.07501

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