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Reducible cubic CNS polynomials

✍ Scribed by Shigeki Akiyama; Horst Brunotte; Attila Pethő

Book ID
106454337
Publisher
Springer Netherlands
Year
2007
Tongue
English
Weight
124 KB
Volume
55
Category
Article
ISSN
0031-5303

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Reducible Polynomials
Reducible Polynomials
✍ Chela, R. 📂 Article 📅 1963 🏛 Oxford University Press 🌐 English ⚖ 124 KB
Reducibility of Cubic Polynomials modp
Reducibility of Cubic Polynomials modp
✍ Wolfgang M. Ruppert 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 251 KB

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.