Lower bound for the class number of \(\mathbb{Q} (\sqrt{n^2+4})\) (Q1989052)
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scientific article; zbMATH DE number 7193179
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lower bound for the class number of \(\mathbb{Q} (\sqrt{n^2+4})\) |
scientific article; zbMATH DE number 7193179 |
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Lower bound for the class number of \(\mathbb{Q} (\sqrt{n^2+4})\) (English)
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24 April 2020
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Summary: In this paper, we give an explicit lower bound for the class number of real quadratic field \(\mathbb{Q} (\sqrt{d})\), where \(d=n^2 +4\) is a square-free integer, using \(\omega \left(n\right)\) which is the number of odd prime divisors of \(n\).
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lower bound
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prime divisors
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0.9148176
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0.90895075
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0.9079828
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0.9021654
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0.8989863
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0.8979399
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