3 papers
math.NT2015
Thue Equations and Lattices
Jeffrey Lin Thunder
We consider Diophantine equations of the kind , where $F(X,Y )\in \bz [X,Y]$ is a homogeneous polynomial of degree that has non-zero discriminant and is a…
math.NT2003
Asymptotic estimates for the number of integer solutions to decomposable form inequalities
Jeffrey Lin Thunder
We estimate the number of integer solutions to decomposable form inequalities (both asymptotic estimates and upper bounds are provided) when the degree of the form and the number o…
math.NT2001
Decomposable form inequalities
Jeffrey Lin Thunder
We consider Diophantine inequalities of the kind |f(x)| \le m, where F(X) \in Z[X] is a homogeneous polynomial which can be expressed as a product of d homogeneous linear forms in…