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 a1 < a2 < ··· and that every n exceeding m can be represented as a sum of distinct ak's. If for all but finitely many k's we have ak+1 < 2ak-m then every integer n can be represented in the form n = sumi = 1r \epsiloni ai where \epsilon1,...,\epsilonr = ± 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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