Hilbert irreducibility sequences and nonstandard arithmetic
โ Scribed by M. Yasumoto
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 511 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We extend the effective Hilbert Irreducibility Theorem concerning the reduction of a single multivariate polynomial to one concerning the reduction of an algebraic set, defined by a system of polynomials.The theorem provides the basis for efficient MonteXarlo computations ' on several problems relat
Given the ring of integers R of an algebraic number field K, for which natural ลฝ . number n is there a finite group G ; GL n, R such that RG, the R-span of G, ลฝ . ลฝ . ลฝ . coincides with M n, R , the ring of n = n -matrices over R? Given G ; GL n, R ลฝ . we show that RG s M n, R if and only if the Bra