On the resolution of resultant type equations

Authors:
István Gaál
Affiliations:
University of Debrecen, Mathematical Institute, H-4010 Debrecen Pf.12., Hungary
Venue:
Journal of Symbolic Computation
Year:
2002

Citing 2
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Computing all power integral bases in orders of totally real cyclic sextic number fields

Mathematics of Computation
KANT V4

Journal of Symbolic Computation - Special issue on computational algebra and number theory: proceedings of the first MAGMA conference

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Abstract

Given an irreducible polynomial P ∈ Z[X] of degree at least three and 0 ≠ a ∈ Z we are going to determine all those monic quadratic polynomials Q ∈ Z[X] satisfying Res(P,Q) = a. This is the first attempt for the complete resolution of resultant type equations. We illustrate our algorithm with a detailed example.