On the structure of -integers
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 46 (2012) no. 1, pp. 181-200
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The (-β)-integers are natural generalisations of the β-integers, and thus of the integers, for negative real bases. When β is the analogue of a Parry number, we describe the structure of the set of (-β)-integers by a fixed point of an anti-morphism.
Keywords:
beta expansion, Parry number, beta-integer, morphism, substitution
@article{ITA_2012__46_1_181_0,
author = {Steiner, Wolfgang},
title = {On the structure of $(-\varepsilon )$-integers},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
pages = {181--200},
publisher = {EDP-Sciences},
volume = {46},
number = {1},
year = {2012},
doi = {10.1051/ita/2011115},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/ita/2011115/}
}
TY - JOUR AU - Steiner, Wolfgang TI - On the structure of $(-\varepsilon )$-integers JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2012 SP - 181 EP - 200 VL - 46 IS - 1 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/ita/2011115/ DO - 10.1051/ita/2011115 LA - en ID - ITA_2012__46_1_181_0 ER -
%0 Journal Article %A Steiner, Wolfgang %T On the structure of $(-\varepsilon )$-integers %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2012 %P 181-200 %V 46 %N 1 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ita/2011115/ %R 10.1051/ita/2011115 %G en %F ITA_2012__46_1_181_0
Steiner, Wolfgang. On the structure of $(-\varepsilon )$-integers. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 46 (2012) no. 1, pp. 181-200. doi: 10.1051/ita/2011115
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