Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593417 | Journal of Number Theory | 2016 | 15 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hirotomo Kobayashi,