Geodesic
The Discriminant of a Dihedral Quintic Field Defined by a Trinomial X 5 + aX + b
Canadian mathematical bulletin, Tome 45 (2002) no. 1, pp. 138-153

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DOI

Let ${{X}^{5}}\,+\,aX\,+\,b\,\in \,Z\left[ X \right]$ have Galois group ${{D}_{5}}$ . Let $\theta $ be a root of ${{X}^{5}}\,+\,aX\,+\,b$ . An explicit formula is given for the discriminant of $Q\left( \theta\right)$ .
DOI : 10.4153/CMB-2002-017-8
Mots-clés : 11R21, 11R29, dihedral quintic field, trinomial, discriminant 
Spearman, Blair K.; Williams, Kenneth S. The Discriminant of a Dihedral Quintic Field Defined by a Trinomial X 5 + aX + b. Canadian mathematical bulletin, Tome 45 (2002) no. 1, pp. 138-153. doi: 10.4153/CMB-2002-017-8
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     title = {The {Discriminant} of a {Dihedral} {Quintic} {Field} {Defined} by a {Trinomial} {X} 5 + {aX} + b},
     journal = {Canadian mathematical bulletin},
     pages = {138--153},
     year = {2002},
     volume = {45},
     number = {1},
     doi = {10.4153/CMB-2002-017-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-017-8/}
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