On the exponential local-global principle

Boris Bartolome, Yuri Bilu, and Florian Luca. "On the exponential local-global principle." Acta Arithmetica 159.2 (2013): 101-111. <http://eudml.org/doc/286065>.

@article{BorisBartolome2013,
abstract = {Skolem conjectured that the "power sum" A(n) = λ₁α₁ⁿ + ⋯ + λₘαₘⁿ satisfies a certain local-global principle. We prove this conjecture in the case when the multiplicative group generated by α₁,...,αₘ is of rank 1.},
author = {Boris Bartolome, Yuri Bilu, Florian Luca},
journal = {Acta Arithmetica},
keywords = {power sums; local-global principles; subspace theorem},
language = {eng},
number = {2},
pages = {101-111},
title = {On the exponential local-global principle},
url = {http://eudml.org/doc/286065},
volume = {159},
year = {2013},
}

TY - JOUR
AU - Boris Bartolome
AU - Yuri Bilu
AU - Florian Luca
TI - On the exponential local-global principle
JO - Acta Arithmetica
PY - 2013
VL - 159
IS - 2
SP - 101
EP - 111
AB - Skolem conjectured that the "power sum" A(n) = λ₁α₁ⁿ + ⋯ + λₘαₘⁿ satisfies a certain local-global principle. We prove this conjecture in the case when the multiplicative group generated by α₁,...,αₘ is of rank 1.
LA - eng
KW - power sums; local-global principles; subspace theorem
UR - http://eudml.org/doc/286065
ER -