2 papers
math.NT2009
Cubic Thue Equations
Shabnam Akhtari
We revisit a work by R. Okazaki and prove that for every cubic binary form F(x, y) with large enough discriminant, the Thue equation |F(x, y)| = 1 has at most 7 solutions in intege…
math.NT2009
The Diophantine equation
Shabnam Akhtari
As an application of the method of Thue-Siegel, we will resolve a conjecture of Walsh to the effect that the Diophantine equation , for fixed positive integers …