Problems and results on additive properties of general sequences, V

P. Erdős, A. Sárközy, V. T. Sós

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

A very special case of one of the theorems of the authors states as follows: Let 1≤a1≤a2≤... be an infinite sequence of integers for which all the sums ai+aj, 1≤i≤j, are distinct. Then there are infinitely many integers k for which 2 k can be represented in the form ai+aj but 2 k+1 cannot be represented in this form. Several unsolved problems are stated.

Original languageEnglish
Pages (from-to)183-197
Number of pages15
JournalMonatshefte fur Mathematik
Volume102
Issue number3
DOIs
Publication statusPublished - Sep 1986

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Integer
Distinct
Theorem
Form

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Problems and results on additive properties of general sequences, V. / Erdős, P.; Sárközy, A.; Sós, V. T.

In: Monatshefte fur Mathematik, Vol. 102, No. 3, 09.1986, p. 183-197.

Research output: Contribution to journalArticle

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