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Reducibility of Cubic Polynomials modp

✍ Scribed by Wolfgang M. Ruppert

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 251 KB
Volume: 57
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1996.0043

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✦ Synopsis

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.

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