The Discriminant of a Dihedral Quintic Field Defined by a Trinomial $X^5 + aX + b$

Canadian mathematical bulletin

关键词: dihedral quintic field;    trinomial;    discriminant;   

DOI  :  10.4153/CMB-2002-017-8

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Let $X^5 + aX + b in Z[X]$ have Galois group $D_5$. Let $heta$ bea root of $X^5 + aX + b$. An explicit formula is given for thediscriminant of $Q(heta)$.

【 授权许可】

Unknown