Erdős, Paul; Sárkőzy, András On differences and sums of integers. II. (English) Zbl 0413.10049 Bull. Greek Math. Soc. 18, 204-223 (1977). This paper continues the authors’ investigation of difference and sum intersector sets and the solubility of related equations begun in part I [J. Number Theory 10, 430-450 (1978; Zbl 0404.10029)]. They prove that the set \(\{[\alpha],[2\alpha],\dots,[n\alpha],\dots\}\) where \(\alpha\) is a fixes irrational number and \([x]\) is the integer part of the real number \(x\), is a difference intersector set but need not be a sum intersector set. ”Sparse” intersector sets are also investigated and it is shown that while there are bounded difference intersector sets, sum intersector sets are always unbounded. A number of conjectures are made. Reviewer: M.M.Dodson Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 1 Document MSC: 11B13 Additive bases, including sumsets 11B83 Special sequences and polynomials 11P99 Additive number theory; partitions 11D85 Representation problems Keywords:sequences of integers; density; sum intersector sets; difference intersector set PDF BibTeX XML Cite \textit{P. Erdős} and \textit{A. Sárkőzy}, Bull. Greek Math. Soc. 18, 204--223 (1977; Zbl 0413.10049)