Reducibility of Polynomials in Two Variables
β Scribed by D. Lorenzini
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 360 KB
- Volume
- 156
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Let R be a ring of polynomials in m + n indeterminates x 1 , . . . , xm, y 1 , . . . , yn over a field K and let M be a finitely generated R-module. Furthermore, let (Rrs) r,sβN be the natural double filtration of the ring R and let (Mrs) r,sβN be the corresponding double filtration of the module M
It is shown that an absolutely irreducible homogeneous cubic polynomial f # Z[x 0 , x 1 , x 2 ] is also absolutely irreducible mod p if p>1248H 6 where H is the height of f. Modulo a general number theoretic conjecture an example shows that the result is best possible.
In this paper, some important properties of orthogonal polynomials of two variables are investigated. The concepts of invariant factor for orthogonal polynomials of two variables are introduced. The presented results include Stieltjies type theorems for multivariate orthogonal polynomials and the co
## Abstract We recognize that established techniques permit twoβdimensional interpolation to be accomplished efficiently as well as accurately when the grid of points, on which the data is available, is regular. Existing methods suitable for irregular grids are computationally protracted. We show t