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Reducibility of lacunary polynomials, VII

✍ Scribed by A. Schinzel

Book ID
105150479
Publisher
Springer Vienna
Year
1986
Tongue
English
Weight
944 KB
Volume
102
Category
Article
ISSN
0026-9255

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πŸ“œ SIMILAR VOLUMES

Reducibility of Cubic Polynomials modp
Reducibility of Cubic Polynomials modp
✍ Wolfgang M. Ruppert πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 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.