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On sums of dilates

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10.1017/S0963548309990307
 
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Javier, Cilleruelo
Hamidoune, Yahya Ould
Serra Albó, OriolMés informacióMés informacióMés informació
Document typeArticle
Defense date2009-10-05
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
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
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  • Departament de Matemàtiques - Articles de revista [3.099]
  • COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions - Articles de revista [290]
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