Class numbers of pure quintic fields

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• 作者：Hirotomo Kobayashi ^{hkshiyabako@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 11R29 ; secondary ; 11R20 ; 11R21 ; 11R37
• 刊名：Journal of Number Theory
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：160
• 期：Complete
• 页码：463-477
• 全文大小：330 K

文摘

Let m be a fifth power free integer greater than one. Let K be an algebraic number field generated by a fifth root of m over the rational number field. If m has a prime factor p congruent to −1 modulo five, the class number of K is a multiple of five.