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Number of solutions of cubic Thue inequalities with positive discriminant

N. Saradha, Divyum Sharma (2015)

Acta Arithmetica

Let F(X,Y) be an irreducible binary cubic form with integer coefficients and positive discriminant D. Let k be a positive integer satisfying k < ( ( 3 D ) 1 / 4 ) / 2 π . We give improved upper bounds for the number of primitive solutions of the Thue inequality | F ( X , Y ) | k .

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