Geodesic
On the Discriminants of the Powers of an Algebraic Integer
Canadian mathematical bulletin, Tome 63 (2020) no. 3, pp. 481-483

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DOI

For $\unicode[STIX]{x1D6FC}$ an algebraic integer of any degree $n\geqslant 2$, it is known that the discriminants of the orders $\mathbb{Z}[\unicode[STIX]{x1D6FC}^{k}]$ go to infinity as $k$ goes to infinity. We give a short proof of this result.
DOI : 10.4153/S0008439519000274
Mots-clés : discriminant, algebraic integer 
Louboutin, Stéphane R. On the Discriminants of the Powers of an Algebraic Integer. Canadian mathematical bulletin, Tome 63 (2020) no. 3, pp. 481-483. doi: 10.4153/S0008439519000274
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     title = {On the {Discriminants} of the {Powers} of an {Algebraic} {Integer}},
     journal = {Canadian mathematical bulletin},
     pages = {481--483},
     year = {2020},
     volume = {63},
     number = {3},
     doi = {10.4153/S0008439519000274},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000274/}
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