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On the strict class number of \({\mathbb{Q}}(\sqrt{2p})\) modulo 16, p\(\equiv 1 (mod 8)\) prime - MaRDI portal

On the strict class number of \({\mathbb{Q}}(\sqrt{2p})\) modulo 16, p\(\equiv 1 (mod 8)\) prime (Q790878)

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scientific article; zbMATH DE number 3849354
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English
On the strict class number of \({\mathbb{Q}}(\sqrt{2p})\) modulo 16, p\(\equiv 1 (mod 8)\) prime
scientific article; zbMATH DE number 3849354

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    On the strict class number of \({\mathbb{Q}}(\sqrt{2p})\) modulo 16, p\(\equiv 1 (mod 8)\) prime (English)
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    1984
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    Let \(p\equiv 1 (mod 8)\) be a prime. The strict class number of the real quadratic field \({\mathbb{Q}}(\sqrt{2p})\) of discriminant 8p is denoted by \(h^+(8p)\). For those primes p for which \(h^+(8p)\equiv 0 (mod 8)\) the value of \(h^+(8p)\) modulo 16 is determined.
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    strict class number
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    real quadratic field
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