On the class number of the maximal real subfields of a family of cyclotomic fields.

Autor: Ram, Mahesh Kumar
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