ON THE DIGITAL REPRESENTATION OF INTEGERS WITH BOUNDED PRIME FACTORS

Bugeaud, Yann

Osaka Journal of Mathematics, 2018, 55(2), 315-324

アクセス数:100件（2025-07-08 21:06 集計）

固定URL: https://doi.org/10.18910/68354

ファイル	フォーマット	利用条件	サイズ	閲覧回数	利用開始日	説明	information
ojm55_02_315	pdf	なし	109 KB	110	2018.05.14

タイトル	ON THE DIGITAL REPRESENTATION OF INTEGERS WITH BOUNDED PRIME FACTORS
著者	著者名 Bugeaud, Yann
抄録	Let b ≥ 2 be an integer. Not much is known on the representation in base b of prime numbers or of numbers whose prime factors belong to a given, finite set. Among other results, we establish that any sufficiently large integer which is not a multiple of b and has only small (in a suitable sense) prime factors has at least four nonzero digits in its representation in base b.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	55(2)
ページ	315-324
刊行年月	2018-04
言語	英語
ハンドルURL	https://hdl.handle.net/11094/68354
DOI	https://doi.org/10.18910/68354
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 55, Number 2 （2018-4）

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. 2018, 55(2), p. 315-324
DC.title	ON THE DIGITAL REPRESENTATION OF INTEGERS WITH BOUNDED PRIME FACTORS
DC.creator	Bugeaud, Yann
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	2018-04
DCTERMS.abstract	Let b ≥ 2 be an integer. Not much is known on the representation in base b of prime numbers or of numbers whose prime factors belong to a given, finite set. Among other results, we establish that any sufficiently large integer which is not a multiple of b and has only small (in a suitable sense) prime factors has at least four nonzero digits in its representation in base b.
DC.identifier	10.18910/68354
DC.format	68354
citation_title	ON THE DIGITAL REPRESENTATION OF INTEGERS WITH BOUNDED PRIME FACTORS
citation_author	Bugeaud, Yann
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2018-04
citation_journal_title	Osaka Journal of Mathematics
citation_volume	55
citation_issue	2
citation_firstpage	315
citation_lastpage	324
citation_public_url	https://hdl.handle.net/11094/68354
citation_doi_detail	10.18910/68354
citation_doi	https://doi.org/10.18910/68354