Kummer's conjecture predicts the asymptotic growth of the relative class number of $\mathbb Q(\zeta_q)$. We improve the known results on the individual bounds of Kummer's ratio. The numerical work in this paper extends and improves on our earlier preprint \url{https://arxiv.org/abs/1908.01152} and demonstrates our theoretical results.
The Kummer ratio of the relative class number for prime cyclotomic fields
Alessandro Languasco;
2024
Abstract
Kummer's conjecture predicts the asymptotic growth of the relative class number of $\mathbb Q(\zeta_q)$. We improve the known results on the individual bounds of Kummer's ratio. The numerical work in this paper extends and improves on our earlier preprint \url{https://arxiv.org/abs/1908.01152} and demonstrates our theoretical results.File in questo prodotto:
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