On the fractional Parts of a^n/n

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/104257

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor	Universitat Politècnica de Catalunya. MD - Matemàtica Discreta
dc.contributor.author	Cilleruelo, Javier
dc.contributor.author	Luca, Florian
dc.contributor.author	Kumchev, Angel
dc.contributor.author	Rué Perna, Juan José
dc.contributor.author	Shparlinski, Igor
dc.date	2013-09-30
dc.identifier.citation	Cilleruelo, J., Luca, F., Kumchev, A., Rue, J., Shparlinski, I. On the fractional Parts of a^n/n. "Bulletin of the London Mathematical Society", 30 Setembre 2013, vol. 45, núm. 2, p. 249-256.
dc.identifier.citation	0024-6093
dc.identifier.citation	10.1112/blms/bds084
dc.identifier.uri	http://hdl.handle.net/2117/104257
dc.language.iso	eng
dc.relation	info:eu-repo/grantAgreement/ES/6PN/MTM2008-03880
dc.relation	JAE-DOC Grant of CSIC (Spain)
dc.relation	ARC Grant DP1092835 (Australia)
dc.relation	NRF Grant CRP2-2007-03 (Singapore)
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject	Sequences
dc.subject	Theorems
dc.subject	Fraccions
dc.title	On the fractional Parts of a^n/n
dc.type	info:eu-repo/semantics/updatedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	We give various results about the distribution of the sequence {a n/n}n=1 modulo 1, where a = 2 is a fixed integer. In particular, we find and infinite subsequence A such that {a n/n}n¿A is well distributed. Also we show that for any constant c > 0 and a sufficiently large N, the fractional parts of the first N terms of this sequence hit every interval J ¿ [0, 1] of length \|J \| = cN -0.47

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