期刊论文详细信息
Proceedings of the Japan Academy, Series A. Mathematical Sciences | |
Divisibility of class numbers of non-normal totally real cubic number fields | |
article | |
Jungyun Lee1  | |
[1] ASARC Department of Mathematical Sciences KAIST 335 Gwahangno | |
关键词: Class number; totally real cubic elds.; | |
DOI : 10.3792/pjaa.86.38 | |
学科分类:数学(综合) | |
来源: Japan Academy | |
【 摘 要 】
In this paper, we consider a family of cubic fields $\{K_m\}_{m\geq4}$ associated to the irreducible cubic polynomials $P_m(x)=x^3-mx^2-(m+1)x-1,\,\,\,(m\geq4).$ We prove that there are infinitely many $\{K_m\}_{m\geq4}$'s whose class numbers are divisible by a given integer n . From this, we find that there are infinitely many non-normal totally real cubic fields with class number divisible by any given integer n .
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO202106300000549ZK.pdf | 113KB | download |