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Multigraded Resultants of Sylvester Type

✍ Scribed by B. Sturmfels; A. Zelevinsky


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
470 KB
Volume
163
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


On a Number-Theoretic Result of Sylveste
✍ G. Steidl; M. Tasche πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 713 KB

Let K be an algebraic extension field of Q . Further. let CIc be the domain of algebraic integers of K , and let @,(x) be the n-th cyclotomic ~iolynomial. This paper is devoted to the factorization of the principal ideal sPn(c) DK ( e E QI{) into prime ideals of s),c. The main result (Theorem 3.4) c

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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 This is the first attempt for the complete resolution of resultant type equations. We illustrate our algorithm with a detailed example.