Multiplicative dependence in number fields

DOI10.4064/aa-42-3-291-302zbMath0478.10019OpenAlexW1161573400MaRDI QIDQ3934478

Alfred J. van der Poorten, John H. Loxton

Publication date: 1983

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205877

zbMATH Keywords

algebraic numbersmultiplicative dependence

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Multiplicative and norm form equations (11D57)

Related Items (10)

On abelian points of varieties intersecting subgroups in a torus ⋮ Relations of linear dependence between the logarithms of algebraic numbers ⋮ On multiplicatively dependent vectors of algebraic numbers ⋮ Multiplicative dependence of the translations of algebraic numbers ⋮ On the number of integer polynomials with multiplicatively dependent roots ⋮ Heights on groups and small multiplicative dependencies ⋮ Detecting perfect powers in essentially linear time ⋮ On multiplicative dependence of values of rational functions and a generalization of the Northcott theorem ⋮ Life and Mathematics of Alfred Jacobus van der Poorten (1942–2010) ⋮ Intersections of recurrence sequences

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