Multiplicative dependence of cubic algebraic numbers

Paulius Drungilas; Linas Klimavičius

doi:10.15388/LMR.A.2017.02

Articles

Paulius Drungilas

Vilnius University

Linas Klimavičius

Vilnius University

Published 2017-12-15

https://doi.org/10.15388/LMR.A.2017.02

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Keywords

algebraic numbers
multiplicative dependence.

How to Cite

Drungilas, P. and Klimavičius, L. (2017) “Multiplicative dependence of cubic algebraic numbers”, Lietuvos matematikos rinkinys, 58(A), pp. 7–9. doi:10.15388/LMR.A.2017.02.

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Abstract

We provide an infinite family of cubic algebraic integers α such that the set {α + x | x ∈ Z} is multiplicatively dependent.

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