Geodesic
A simple proof of a theorem of Hajdu–Jarden–Narkiewicz
Paul Pollack 1
1 Department of Mathematics University of Georgia Boyd Graduate Studies Research Center Athens, GA 30602, U.S.A.
Colloquium Mathematicum, Tome 147 (2017) no. 2, pp. 217-220 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $K$ be an algebraic number field, and let $G$ be a finitely generated subgroup of $K^{\times }$. We give a short proof that for every positive integer $n$, there is an element of $\mathcal {O}_K$ not expressible as a sum of $n$ elements of $G$.
DOI : 10.4064/cm7054-9-2016
Mots-clés : algebraic number field finitely generated subgroup times short proof every positive integer there element mathcal expressible sum elements

Paul Pollack  1

1 Department of Mathematics University of Georgia Boyd Graduate Studies Research Center Athens, GA 30602, U.S.A. 
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Paul Pollack. A simple proof of a theorem of Hajdu–Jarden–Narkiewicz. Colloquium Mathematicum, Tome 147 (2017) no. 2, pp. 217-220. doi: 10.4064/cm7054-9-2016

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