𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hilbert's irreducibility theorem and(G)-functions

✍ Scribed by Pierre Dèbes; Umberto Zannier

Publisher
Springer
Year
1997
Tongue
English
Weight
146 KB
Volume
309
Category
Article
ISSN
0025-5831

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On a Special Case of Hilbert's Irreducib
On a Special Case of Hilbert's Irreducibility Theorem
✍ Marius Cavachi 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 89 KB

We prove that if K is a finite extension of Q, P is the set of prime numbers in Z that remain prime in the ring R of integers of K, f, g # K[X] with deg g>deg f and f, g are relatively prime, then f +pg is reducible in K[X] for at most a finite number of primes p # P. We then extend this property to