On the structure of order 4 class groups of \(\mathbb{Q}(\sqrt{n^2+1})\)
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Publication:2022914
DOI10.1007/s40316-020-00139-1zbMath1469.11432arXiv1902.05250OpenAlexW3029740201MaRDI QIDQ2022914
Mohit Mishra, Azizul Hoque, Kalyan Chakraborty
Publication date: 30 April 2021
Published in: Annales Mathématiques du Québec (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.05250
Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)
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A necessary and sufficient condition for \(k=\mathbb{Q}\left ( \sqrt{4 n^2 + 1}\right)\) to have class number \(\omega\left( n\right)+c \), Lower bound for class numbers of certain real quadratic fields
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