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Diophantine inequality involving binary forms

Frontiers of Mathematics in China, 2017
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Diophantine inequality involving binary forms

Frontiers of Mathematics in China, 2013
This paper is concerned with the study of Diophantine inequalities that are composed of binary forms. Let \(\phi_j\in \mathbb{Z}[x,y]\) for \(1\leq j\leq s\) be nondegenerate homogeneous forms of degree \(d=3\) or \(d=4\). Assume that \(\lambda_i\) for \(1\leq i\leq s\) are non-zero real numbers such that \(\frac{\lambda_1}{\lambda_2}\) is irrational ...
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Note on some linear Diophantine inequalities

Mathematical Proceedings of the Cambridge Philosophical Society, 1930
A. Oppenheim
semanticscholar   +2 more sources

Diophantine inequalities and quasi-algebraically closed fields

Israel Journal of Mathematics, 2012
Craig V. Spencer, T. Wooley
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