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On a limiting case of a theorem of Kato and Kuroda

โœ Scribed by P.A Rejto


Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
749 KB
Volume
39
Category
Article
ISSN
0022-247X

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โœ Marius Cavachi ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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