RATIONAL LAURENT SERIES WITH PURELY PERIODIC β-EXPANSIONS

Abbes, Farah; Hbaib, Mohamed

Osaka Journal of Mathematics, 2013, 50(3), 807-816

アクセス数:150件（2026-02-15 09:56 集計）

固定URL: https://doi.org/10.18910/26021

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タイトル	RATIONAL LAURENT SERIES WITH PURELY PERIODIC β-EXPANSIONS
著者	著者名 Abbes, Farah
著者	著者名 Hbaib, Mohamed
抄録	The aim of this paper is to give families of Pisot and Salem elements β in F_q((x^{-1})) with the curious property that the β-expansion of any rational series in the unit disk D(0, 1) is purely periodic. In contrast, the only known family of reals with the last property are quadratic Pisot numbers β > 1 that satisfy β^2 = nβ + 1 for some integer n ≧ 1.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	50(3)
ページ	807-816
刊行年月	2013-09
言語	英語
ハンドルURL	https://hdl.handle.net/11094/26021
DOI	https://doi.org/10.18910/26021
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 50, Number 3　(2013-9）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2013, 50(3), p. 807-816
DC.title	RATIONAL LAURENT SERIES WITH PURELY PERIODIC β-EXPANSIONS
DC.creator	Abbes, Farah
DC.creator	Hbaib, Mohamed
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2013-09
DCTERMS.abstract	The aim of this paper is to give families of Pisot and Salem elements β in F_q((x^{-1})) with the curious property that the β-expansion of any rational series in the unit disk D(0, 1) is purely periodic. In contrast, the only known family of reals with the last property are quadratic Pisot numbers β > 1 that satisfy β^2 = nβ + 1 for some integer n ≧ 1.
DC.identifier	10.18910/26021
DC.format	26021
citation_title	RATIONAL LAURENT SERIES WITH PURELY PERIODIC β-EXPANSIONS
citation_author	Abbes, Farah
citation_author	Hbaib, Mohamed
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2013-09
citation_journal_title	Osaka Journal of Mathematics
citation_volume	50
citation_issue	3
citation_firstpage	807
citation_lastpage	816
citation_public_url	https://hdl.handle.net/11094/26021
citation_doi_detail	10.18910/26021
citation_doi	https://doi.org/10.18910/26021