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The author extend some results obtained by K Gyδry and I. Gaal for number fields and algebraic function fields of characteristic 0, to the fields of algebraic functions of positive characteristic. Though characteristic 0 results in their original form are not true for positive characteristic, one can still effectively classify polynomials with a given discriminant over the fields of algebraic functions of positive characteristic.

Polynomials with a given discriminant over fields of algebraic functions of positive characteristic