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On the parity of the class number of the $7n$th cyclotomic field

In: Mathematica Slovaca, vol. 59, no. 3
Humio Ichimura

Details:

Year, pages: 2009, 357 - 364
Keywords:
cyclotomic field, class number, parity
About article:
For an odd prime number $p$ and an integer $n ≥ 0$, let $hn$ be the class number of the $pn+1$st cyclotomic field $\Q(ζpn+1)$. It is known that when $p=3$ or $5$, $hn$ is odd for all $n ≥ 0$. We prove that the same holds also when $p=7$.
How to cite:
ISO 690:
Ichimura, H. 2009. On the parity of the class number of the $7n$th cyclotomic field. In Mathematica Slovaca, vol. 59, no.3, pp. 357-364. 0139-9918. DOI: https://doi.org/10.2478/s12175-009-0132-5

APA:
Ichimura, H. (2009). On the parity of the class number of the $7n$th cyclotomic field. Mathematica Slovaca, 59(3), 357-364. 0139-9918. DOI: https://doi.org/10.2478/s12175-009-0132-5
About edition: