On the class number of the maximal real subfields of a family of cyclotomic fields.
Autor: | Ram, Mahesh Kumar |
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Jazyk: | angličtina |
Předmět: | |
Druh dokumentu: | Non-fiction |
Abstrakt: | Abstract: For any square-free positive integer $m\equiv{10}\pmod{16}$ with $m\geq26$, we prove that the class number of the real cyclotomic field $\mathbb{Q}(\zeta_{4m}+\zeta_{4m}^{-1})$ is greater than $1$, where $\zeta_{4m}$ is a primitive $4m$th root of unity. |
Databáze: | Katalog Knihovny AV ČR |
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