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Zbl 0287.12007
Weinberger, P.J.
Real quadratic fields with class numbers divisible by $n$. (English)
[J] J. Number Theory 5, 237-241 (1973). ISSN 0022-314X; ISSN 1096-1658/e

From the introduction: The goal of this note is to prove the following theorem: Theorem 1: For all positive integers $n$, there are infinitely many real quadratic fields $\Bbb Q(\sqrt{\Delta(x)})$ with class numbers divisible by $n$, where $\Delta(x) = x^{2n} + 4$. The corresponding theorem for complex quadratic fields was originally proved by {\it T. Nagell} [Abh. Math. Sem. Univ. Hamb. 1, 140--150 (1922; JFM 48.0170.03)].

Display scanned Zentralblatt-MATH page with this review.

MSC 2000:: *11R11 Quadratic extensions
11R29 Class numbers, class groups, discriminants

Keywords: real quadratic fields; divisibility of class number

Citations: JFM 48.0170.03

Cited in: Zbl 1232.11117 Zbl 1036.11057 Zbl 0515.12002

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