A necessary and sufficient condition for \(k=\mathbb{Q}\left ( \sqrt{4 n^2 + 1}\right)\) to have class number \(\omega\left( n\right)+c \) (Q2081854)
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scientific article; zbMATH DE number 7595554
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A necessary and sufficient condition for \(k=\mathbb{Q}\left ( \sqrt{4 n^2 + 1}\right)\) to have class number \(\omega\left( n\right)+c \) |
scientific article; zbMATH DE number 7595554 |
Statements
A necessary and sufficient condition for \(k=\mathbb{Q}\left ( \sqrt{4 n^2 + 1}\right)\) to have class number \(\omega\left( n\right)+c \) (English)
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30 September 2022
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Summary: In this paper, we give a necessary and sufficient condition for real quadratic field \(k=\mathbb{Q}\left( \sqrt{4 n^2 + 1}\right)\) to have class number \(\omega\left( n\right)+c\) where \(c\in\left\{ 1, 2\right\}\) and \(\omega\left( n\right)\) is the number of odd prime divisors of \(n\).
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