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arXiv:2310.07501 [math.NT]AbstractReferencesReviewsResources

On the plus parts of the class numbers of cyclotomic fields

Kalyan Chakraborty, Azizul Hoque

Published 2023-10-11Version 1

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.

Comments: 12 pages. To appear in `Chinese Annals of Mathematics, Series B'
Categories: math.NT
Subjects: 11R29, 11R18, 11R80
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