On zeros of multilinear polynomials

DOI10.1016/j.jnt.2022.10.003OpenAlexW4310066307MaRDI QIDQ2112724

Lenny Fukshansky, Maxwell Forst

Publication date: 11 January 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.05916

zbMATH Keywords

heightmultilinear polynomialSiegel's lemmasearch bound

Mathematics Subject Classification ID

Heights (11G50) Diophantine equations (11D99)

Cites Work

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• Least zero of a cubic form
• Algebraic points of small height missing a union of varieties
• On Siegel's lemma
• Representing integers by multilinear polynomials
• Integral points of small height outside of a hypersurface
• The Number of Irreducible Factors of a Polynomial. I
• An Introduction to the Geometry of Numbers
• Quantitative results on Diophantine equations in many variables
• How to solve a quadratic equation in integers
• Combinatorial Nullstellensatz
• Heights and quadratic forms: on Cassels' theorem and its generalizations

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