RATIONAL LAURENT SERIES WITH PURELY PERIODIC β-EXPANSIONS

F. Abbes, M. Hbaib

Type: Article

Publication Date: 2013-09-01

Citations: 5

DOI: https://doi.org/10.18910/26021

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Locations

Osaka Journal of Mathematics - View

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+	Automatic β -expansions of formal Laurent series over finite fields	2014	Klaus Scheicher Vı́ctor F. Sirvent
+ PDF Chat	On the algebraicity of generalized power series	2016	Kiran S. Kedlaya
+	Purely periodic $$\beta $$ β -expansions with Pisot or Salem unit base in $$\mathbb {F}_q((X^{-1}))$$ F q ( ( X - 1 ) )	2016	Samir Ben Hariz Mohamed Hbaib F. Mahjoub
+	Rational digit systems over finite fields and Christol's Theorem	2016	Manuel Joseph C. Loquias Mohamed Mkaouar Klaus Scheicher Jörg Μ. Thuswaldner
+	On the algebraicity of generalized power series	2015	Kiran S. Kedlaya

Works Cited by This (7)

Action	Title	Year	Authors
+ PDF Chat	The analogue of the Pisot-Vijayaraghavan numbers in fields of formal power series	1962	Paul T. Bateman Alfred L. Duquette
+	Purely periodic 𝛽-expansions with Pisot unit base	2004	Shunji Ito Hui Rao
+	Metric properties and exceptional sets of β-expansions over formal Laurent series	2008	Bing Li Jun Wu Jian Xu
+	On Periodic Expansions of Pisot Numbers and Salem Numbers	1980	Klaus Schmidt
+	Number Theory 2: Introduction to Class Field Theory	2011	Kazuya Kato Nobushige Kurokawa Takeshi Saito
+ PDF Chat	Algebraic number theory	1999	Kazuya Katô Nobushige Kurokawa Takeshi Saito
+ PDF Chat	Rational numbers with purely periodic <i>β</i> -expansion	2010	Boris Adamczewski Christiane Frougny Anne Siegel Wolfgang Steiner