Difference between revisions of "Ostrowski's criterion"
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Revision as of 16:30, 14 August 2018
Ostrowski's Criterion states that:
Left . If is a prime and then is irreducible.
Proof: Let be a root of . If , then a contradiction. Therefore, .
Suppose . Since , one of and is 1. WLOG, assume . Then, let be the leading coefficient of . If are the roots of , then . This is a contradiction, so is irreducible.
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