Finite and infinite arithmetic progressions in sumsets

E. Szemerédi, V. H. Vu

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

We prove that if A is a subset of at least cn 1/2 elements of {1,..., n}, where c is a sufficiently large constant, then the collection of subset sums of A contains an arithmetic progression of length n. As an application, we confirm a long standing conjecture of Erdös and Folkman on complete sequences.

Original languageEnglish
Pages (from-to)1-35
Number of pages35
JournalAnnals of Mathematics
Volume163
Issue number1
DOIs
Publication statusPublished - 2006

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Subset Sum
Sumsets
Arithmetic sequence
Subset
Progression

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Finite and infinite arithmetic progressions in sumsets. / Szemerédi, E.; Vu, V. H.

In: Annals of Mathematics, Vol. 163, No. 1, 2006, p. 1-35.

Research output: Contribution to journalArticle

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