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The resultant of two polynomials. (La résultante de deux polynômes.) (French) Zbl 0605.13007
Sémin. d’algèbre P. Dubreil et M.-P. Malliavin, 37ème Année, Proc., Paris 1985, Lect. Notes Math. 1220, 56-72 (1986).
The author shows that the theory of symmetric functions (especially the Schur functions) is an appropriate context for the study of the resultant of two polynomials, and derives natural proofs of various determinantal expressions for the resultant and, more generally, the highest common factor of two polynomials.
[For the entire collection see Zbl 0592.00015.]
Reviewer: I. G. Macdonald

MSC:
13B25 Polynomials over commutative rings