Finiteness criteria for the solutions of a sequence of decomposable form inequalities
arXiv:2501.08607
Abstract
In this paper, we give a finiteness criterion for the solutions of the sequence of semi--decomposable form equations and inequalities, where the semi--decomposable form is factorized into a family of nonconstant homogeneous polynomials with the distributive constant not exceeding a certain number.
This final version is published in Journal of Number Theory (2026). The title of the paper has been changed