Number of solutions of cubic Thue inequalities with positive discriminant
N. Saradha ; Divyum Sharma
Acta Arithmetica, Tome 168 (2015), p. 81-95 / Harvested from The Polish Digital Mathematics Library
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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<((3D)1/4)/2π. We give improved upper bounds for the number of primitive solutions of the Thue inequality |F(X,Y)|≤k.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:279086 
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N. Saradha; Divyum Sharma. Number of solutions of cubic Thue inequalities with positive discriminant. Acta Arithmetica, Tome 168 (2015) pp. 81-95. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa171-1-6/