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Reducibility of polynomials a0(x) + a1 (x)y + a2 (x) y2 modulo p

✍ Scribed by Wolfgang M. Ruppert

Publisher
Springer
Year
1999
Tongue
English
Weight
175 KB
Volume
72
Category
Article
ISSN
0003-889X

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πŸ“œ SIMILAR VOLUMES

Reducibility of Polynomialsf(x, y) Modul
Reducibility of Polynomialsf(x, y) Modulo p
✍ Wolfgang M Ruppert πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 109 KB

We consider absolutely irreducible polynomials f # Z[x, y] with deg x f=m, deg y f=n, and height H. We show that for any prime p with p>[m(n+1) n 2 + (m+1)(n&1) m 2 ] mn+(n&1)Γ‚2 } H 2mn+n&1 the reduction f mod p is also absolutely irreducible. Furthermore if the Bouniakowsky conjecture is true we sh