A class number calculation of the 5th layer of the cyclotomic z2-extension of q(√5)

Takuya Aoki

doi:10.7169/facm/1795

A class number calculation of the 5^th layer of the cyclotomic z₂-extension of q(^√5)

Takuya Aoki^*

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

For a positive integer n, let K_n be the n-th layer of the the cyclotomic Z₂-extension of Q(^√5), which is the real quadratic field with the minimal discriminant. We prove that the class number of K₅ is 1.

Original language	English
Pages (from-to)	87-94
Number of pages	8
Journal	Functiones et Approximatio, Commentarii Mathematici
Volume	62
Issue number	1
DOIs	https://doi.org/10.7169/facm/1795
Publication status	Published - 2020

Keywords

Class number
Computation

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.7169/facm/1795

Cite this

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