Geodesic
Number of solutions of cubic Thue inequalities with positive discriminant
N. Saradha 1   ; Divyum Sharma 1
1 School of Mathematics Tata Institute of Fundamental Research Homi Bhabha Road Mumbai 400 005, India
Acta Arithmetica, Tome 171 (2015) no. 1, pp. 81-95 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $F(X,Y)$ be an irreducible binary cubic form with integer coefficients and positive discriminant $D$. Let $k$ be a positive integer satisfying \[ k\frac {(3D)^{1/4}}{2\pi }. \] We give improved upper bounds for the number of primitive solutions of the Thue inequality \[ |F(X,Y)|\leq k. \]
DOI : 10.4064/aa171-1-6
Keywords: irreducible binary cubic form integer coefficients positive discriminant positive integer satisfying frac improved upper bounds number primitive solutions thue inequality leq

N. Saradha  1   ; Divyum Sharma  1

1 School of Mathematics Tata Institute of Fundamental Research Homi Bhabha Road Mumbai 400 005, India 
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N. Saradha; Divyum Sharma. Number of solutions of cubic Thue inequalities with positive discriminant. Acta Arithmetica, Tome 171 (2015) no. 1, pp. 81-95. doi: 10.4064/aa171-1-6

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