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Search: All articles in the CMB digital archive with keyword Discriminant

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1. CMB 2006 (vol 49 pp. 472)

Silvester, Alan K.; Spearman, Blair K.; Williams, Kenneth S.
Cyclic Cubic Fields of Given Conductor and Given Index
The number of cyclic cubic fields with a given conductor and a given index is determined.

Keywords:Discriminant, conductor, index, cyclic cubic field
Categories:11R16, 11R29

2. CMB 2002 (vol 45 pp. 138)

Spearman, Blair K.; Williams, Kenneth S.
The Discriminant of a Dihedral Quintic Field Defined by a Trinomial $X^5 + aX + b$
Let $X^5 + aX + b \in Z[X]$ have Galois group $D_5$. Let $\theta$ be a root of $X^5 + aX + b$. An explicit formula is given for the discriminant of $Q(\theta)$.

Keywords:dihedral quintic field, trinomial, discriminant
Categories:11R21, 11R29

3. CMB 2001 (vol 44 pp. 97)

Ou, Zhiming M.; Williams, Kenneth S.
On the Density of Cyclic Quartic Fields
An asymptotic formula is obtained for the number of cyclic quartic fields over $Q$ with discriminant $\leq x$.

Keywords:cyclic quartic fields, density, discriminant
Categories:11R16, 11R29

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