Square-free Criteria for Polynomials Using No Derivatives
نویسنده
چکیده
We provide some square-free criteria for primitive polynomials over unique factorization domains, which do not make use of derivatives or discriminants. Using some ideas of Ostrowski we establish nonvanishing conditions for determinants of matrices with polynomial entries and deduce squarefree criteria for polynomials in several variables.
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تاریخ انتشار 2006