Search bounds for zeros of polynomials over the algebraic closure of \(\mathbb Q\)

DOI10.1216/RMJ-2009-39-3-789zbMath1186.11038arXivmath/0512133MaRDI QIDQ1024968

Lenny Fukshansky

Publication date: 18 June 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512133

zbMATH Keywords

heightpolynomialssearch bounds

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Heights (11G50) Diophantine equations in many variables (11D72) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Global ground fields in algebraic geometry (14G25)

Cites Work

• On Siegel's lemma
• Small zeros of quadratic forms with linear conditions
• Integral points of small height outside of a hypersurface
• The Number of Irreducible Factors of a Polynomial. I
• Small Solutions to Inhomogeneous Linear Equations Over Number Fields
• How to Solve a Quadratic Equation In Rationals
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