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Factoring Multivariate Polynomials over Algebraic Number Fields

✍ Scribed by Lenstra, Arjen K.


Book ID
118174145
Publisher
Society for Industrial and Applied Mathematics
Year
1987
Tongue
English
Weight
892 KB
Volume
16
Category
Article
ISSN
0097-5397

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πŸ“œ SIMILAR VOLUMES


Factoring Polynomials Over Local Fields
✍ Sebastian Pauli πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 361 KB

We describe an efficient new algorithm for factoring a polynomial Ξ¦(x) over a field k that is complete with respect to a discrete prime divisor. For every irreducible factor Ο•(x) of Ξ¦(x) this algorithm returns an integral basis for k[x]/Ο•(x)k[x] over k.