Fine addition theorems, II

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Abstract

It is proved that if A ⊂ (1, 2, …, N) and |A| ≫ (N log N)1/2, then there is a "long" arithmetic progression all of whose elements can be represented as the sums of distinct elements of A. Several applications of this theorem are discussed.

Original languageEnglish
Pages (from-to)197-218
Number of pages22
JournalJournal of Number Theory
Volume48
Issue number2
DOIs
Publication statusPublished - Aug 1994

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ASJC Scopus subject areas

  • Algebra and Number Theory

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