On product representations of powers, I

P. Erdõs, A. Sárközy, V. T. Sós

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

The solvability of the equation a1a2. ak = x2, a1, a2., ak ε(lunate) A is studied for fixed k and 'dense' sets A of positive integers. In particular, it is shown that if k is even and k ≥ 4, and A is of positive upper density, then this equation can be solved.

Original languageEnglish
Pages (from-to)567-588
Number of pages22
JournalEuropean Journal of Combinatorics
Volume16
Issue number6
DOIs
Publication statusPublished - 1995

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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