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March 2020 A class number calculation of the $5^{\text{th}}$ layer of the cyclotomic $\mathbf{Z}_2$-extension of $\mathbf{Q}(\sqrt{5})$
Takuya Aoki
Funct. Approx. Comment. Math. 62(1): 87-94 (March 2020). DOI: 10.7169/facm/1795

Abstract

For a positive integer $n$, let $K_n$ be the $n$-th layer of the the cyclotomic $\mathbf{Z}_2$-extension of $\mathbf{Q}(\sqrt{5})$, which is the real quadratic field with the minimal discriminant. We prove that the class number of $K_5$ is 1.

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Takuya Aoki. "A class number calculation of the $5^{\text{th}}$ layer of the cyclotomic $\mathbf{Z}_2$-extension of $\mathbf{Q}(\sqrt{5})$." Funct. Approx. Comment. Math. 62 (1) 87 - 94, March 2020. https://doi.org/10.7169/facm/1795

Information

Published: March 2020
First available in Project Euclid: 26 October 2019

zbMATH: 07225501
MathSciNet: MR4074389
Digital Object Identifier: 10.7169/facm/1795

Subjects:
Primary: 11R29, 11Y40

Rights: Copyright © 2020 Adam Mickiewicz University

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Vol.62 • No. 1 • March 2020
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