Let X5 + aX + b ∈ Z[X] have Galois group D5. Let θ be a root of X5 + aX + b. An explicit formula is given for the discriminant of Q(θ).

Additional Metadata
Keywords Dihedral quintic field, Discriminant, Trinomial
Journal Canadian Mathematical Bulletin
Citation
Spearman, B.K. (Blair K.), & Williams, K.S. (2002). The discriminant of a dihedral quintic field defined by a trinomial X5 + aX + b. Canadian Mathematical Bulletin, 45(1), 138–153.