Author:
CILLERUELO JAVIER,HAMIDOUNE YAHYA O.,SERRA ORIOL
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.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Computational Theory and Mathematics,Statistics and Probability,Theoretical Computer Science
Reference3 articles.
1. Sums of Dilates
2. [3] Nathanson M. B. Inverse problems for linear forms over finite sets of integers. Available from: arXiv:0708.2304.
3. [2] Cilleruelo J. , Silva M. and Vinuesa C. A sumset problem. Preprint.
Cited by
20 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献