On sums of dilates

Javier, Cilleruelo; Hamidoune, Yahya Ould; Serra Albó, Oriol

doi:10.1017/S0963548309990307

View/Open

on_sums_dilates.pdf (95,04Kb)

View UPCommons Usage Statistics

LA Referencia / Recolecta stats

Cita com:

Show full item record

Javier, Cilleruelo

Hamidoune, Yahya Ould

Serra Albó, Oriol

Document typeArticle

Defense date2009-10-05

Rights accessOpen Access

Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain

Abstract

For k prime and A a finite set of integers with |A| ≥ $3(k-1)^2$ (k-1)! we prove that |A+k·A| ≥ (k+1)|A| − ⌈k(k+2)/4⌉ where k·A = {ka:a∈A}. We also describe the sets for which equality holds.

CitationJavier, C.; O. Hamidoune, Y.; Serra, O. On sums of dilates. "Combinatorics probability and computing", 05 Octubre 2009, vol. 18, núm. 6, p. 871-880.

URIhttp://hdl.handle.net/2117/11654

DOI10.1017/S0963548309990307

ISSN0963-5483

Publisher versionhttp://journals.cambridge.org/action/displayJournal?jid=CPC

Collections

View UPCommons Usage Statistics

Show full item record

Files	Description	Size	Format	View
on_sums_dilates.pdf		95,04Kb	PDF	View/Open

UPCommons. Global access to UPC knowledge

On sums of dilates

View/Open

Browse