Publications of (and about) Paul Erdös
Autor: Erdös, Paul; Sárközy, A.; Sós, V.T.
Title: Problems and results on additive properties of general sequences. V. (In English)
Source: Monatsh. Math. 102, 183-197 (1986).
Review: [Part I, cf. Pac. J. Math. 118, 347-357 (1985; Zbl 569.10032), part IV, cf. Lect. Notes Math. 1122, 85-104 (1985; Zbl 588.10056).]
A very special case of one of the theorems of the authors states as follows: Let 1 \leq a1 \leq a2 \leq ... be an infinite sequence of integers for which all the sums ai+aj, 1 \leq i \leq j, are distinct. Then there are infinitely many integers k for which 2k can be represented in the form ai+aj but 2k+1 cannot be represented in this form. Several unsolved problems are stated.
Classif.: * 11B13 Additive bases
00A07 Problem books
Keywords: addition sequences; infinite sequence of integers; unsolved problems
Citations: Zbl 569.10032; Zbl 588.10056
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