Author/Authors :
Béla Bollob?s، نويسنده , , Norbert Hegyv?ri، نويسنده , , Guoping Jin، نويسنده ,
Abstract :
In this paper we shall answer a question of Erdős and Graham (1980, p. 18) concerning sums of integer sequences. Furthermore, we shall examine for what sequences (ri, ci)i∞=1 it is true that if B = (bi) is a sequence of natural numbers such bi+1 ⩾ ribi - ci then, for some sequence A = (ai)i∞=1 of natural numbers with 2 ⩽ ai+1 - ai ⩽ 3, we have (A + A) ∩ B ≠ ∅.
