Asymptotic estimates for the number of integer solutions to decomposable form inequalities
Abstract
Description
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 of variables are relatively prime. These estimates display good behavior in terms of the coefficients of the form, and greatly improve upon previous estimates in this regard.
version 2, 30 pages. Corrects some typos and statements of propositions 5 and 6 (all theorems and other propositions remain as before). The last reference is updated, as well
version 2, 30 pages. Corrects some typos and statements of propositions 5 and 6 (all theorems and other propositions remain as before). The last reference is updated, as well