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**Zentralblatt MATH**

**Publications of (and about) Paul Erdös**

**Zbl.No: ** 100.27204

**Autor: ** Erdös, Pál; Surányi, János

**Title: ** Über ein Problem aus der additiven Zahlentheorie. (On a problem from additive number theory.) (In Hungarian. RU, German summary)

**Source: ** Mat. Lapok 10, 284-290 (1960).

**Review: ** Suppose that there are infinitely many odd ones among the natural numbers a_{1} < a_{2} < ··· and that every n exceeding m can be represented as a sum of distinct a_{k}'s. If for all but finitely many k's we have a_{k+1} < 2a_{k}-m then every integer n can be represented in the form n = **sum**_{i = 1}^{r} \epsilon_{i} a_{i} where \epsilon_{1},...,\epsilon_{r} = ± 1 and r depends on n. Numerical estimates are given for the admissible values of r = r(n).

**Reviewer: ** I.S.Gál

**Classif.: ** * 11B83 Special sequences of integers and polynomials

11A67 Representation systems for integers and rationals

**Index Words: ** number theory

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