Geodesic
On the exponential local-global principle
Boris Bartolome 1   ; Yuri Bilu 2   ; Florian Luca 3
1 Enteleia Tech La Cour 31320 Auréville, France
2 IMB, Université Bordeaux 1 351 cours de la Libération 33405 Talence France
3 Fundación Marcos Moshinsky Circuito Exterior, C.U., Apdo. Postal 70-543 Mexico D.F. 04510, México
Acta Arithmetica, Tome 159 (2013) no. 2, pp. 101-111 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Skolem conjectured that the “power sum” ${A(n)=\lambda _1 \alpha _1^n + \cdots + \lambda _m \alpha _m^n}$ satisfies a certain local-global principle. We prove this conjecture in the case when the multiplicative group generated by ${\alpha _1, \ldots , \alpha _m}$ is of rank $1$.
DOI : 10.4064/aa159-2-1
Keywords: skolem conjectured power sum lambda alpha cdots lambda alpha satisfies certain local global principle prove conjecture multiplicative group generated alpha ldots alpha rank nbsp

Boris Bartolome  1   ; Yuri Bilu  2   ; Florian Luca  3

1 Enteleia Tech La Cour 31320 Auréville, France
2 IMB, Université Bordeaux 1 351 cours de la Libération 33405 Talence France
3 Fundación Marcos Moshinsky Circuito Exterior, C.U., Apdo. Postal 70-543 Mexico D.F. 04510, México 
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Boris Bartolome; Yuri Bilu; Florian Luca. On the exponential local-global principle. Acta Arithmetica, Tome 159 (2013) no. 2, pp. 101-111. doi: 10.4064/aa159-2-1

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