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Showing 1 to 2 of 2 for “"Prime polynomials"”.
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Extensions to a Lemma of Bernik with Applications in the area of Metric Diophantine Approximation
… description of the fact that two relatively prime polynomials in Z[x] cannot both have very small absolute values (in terms of their degrees and heights) in an interval unless that interval is extremely short. Bernik's result was presented for intervals in R and has the restriction that the …
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Prime Rational Functions and Integral Polynomials
… composition. In this case, we say that f(x) is prime. We give sufficient conditions for complex rational functions to be prime in terms of their degrees and their critical values, and we derive some conditions for the case of complex polynomials. We consider also the divisibility of integral …