The Lehmer inequality and the Mordell-Weil theorem for Drinfeld modules

DOI10.1016/j.jnt.2006.03.004zbMath1125.11033arXivmath/0409334OpenAlexW2056097416MaRDI QIDQ863956

Dragos Ghioca

Publication date: 12 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0409334

zbMATH Keywords

Drinfeld modulesLehmer conjectureMordell-Weil theorem

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items

The local Lehmer inequality for Drinfeld modules, Unlikely intersections for curves in products of Carlitz modules, Bounds for preperiodic points for maps with good reduction, Collision of orbits for a one-parameter family of Drinfeld modules, Algebraic equations on the adelic closure of a Drinfeld module, Siegel's theorem for Drinfeld modules, Torsion bounds for elliptic curves and Drinfeld modules, Zsigmondy theorem for arithmetic dynamics induced by a drinfeld module, Order of torsion for reduction of linearly independent points for a family of Drinfeld modules, A variant of Siegel's theorem for Drinfeld modules

Cites Work

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• Canonical heights and Drinfeld modules
• A lower bound for the canonical height on elliptic curves over abelian extensions.
• Factorization of certain cyclotomic functions
• A lower bound for the canonical height on abelian varieties over abelian extensions
• The local Lehmer inequality for Drinfeld modules
• On a question of Lehmer and the number of irreducible factors of a polynomial
• Counting points of small height on elliptic curves
• Minoration de la hauteur de Néron-Tate sur les variétés abÉliennes de type C. M
• Elliptic Curves over the Perfect Closure of a Function Field
• The Mordell-Weil theorems for Drinfeld modules over finitely generated function fields