Finiteness criteria for the solutions of a sequence of decomposable form inequalities
Number Theory
2026-02-17 v2
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.
Keywords
Cite
@article{arxiv.2501.08607,
title = {Finiteness criteria for the solutions of a sequence of decomposable form inequalities},
author = {Si Duc Quang},
journal= {arXiv preprint arXiv:2501.08607},
year = {2026}
}
Comments
This final version is published in Journal of Number Theory (2026). The title of the paper has been changed