Publications de l’Institut Mathématique, Nouvelle Série Vol. 100[114], No. 1/1, pp. 279–285 (2016) 

PURELY PERIODIC $\beta $EXPANSIONS IN CUBIC SALEM BASE IN ${\mathbb{F}}_{q}\left(\left({X}^{1}\right)\right)$Faïza MahjoubDepartment of Mathematics, Higher institute of applied science and technology, University of Monastir, Mahdia, TunisiaAbstract: Let ${\mathbb{F}}_{q}$ be the finite field with $q$ elements and $\beta $ Salem series in ${\mathbb{F}}_{q}\left(\left({X}^{1}\right)\right)$. It is proved in Keywords: formal power series; finite fields; $\beta $expansion; Salem element Classification (MSC2000): 11R06; 37B50 Full text of the article: (for faster download, first choose a mirror)
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