Equations in one variable over function fields
Enrico Bombieri, Julia Mueller, Umberto Zannier (2001)
Acta Arithmetica
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Displaying similar documents to “On a universal axiomatization of the real closed fields”
Equations in one variable over function fields
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2010 Mathematics Subject Classification: 15A15, 15A04. We investigate the Pólya problem on the sign conversion between the permanent and the determinant over finite fields. The main attention is given to the sufficient conditions which guarantee non-existence of sing-conversion. In addition we show that F3 is the only field with the property that any matrix with the entries from the field is convertible. As a result we obtain that over finite fields there are no analogs of...