Erdős–Fuchs conjecture on additive representation functions
Let A={a1,a2,…}\mathcal{A} = \{a_{1}, a_{2},\ldots\}A={a1,a2,…} be a set of nonnegative integers satisfying an≤cn2a_n \leq cn^2an≤cn2 for all nnn, where c>0c>0c>0 is a real constant. Let RA(n)R_A(n)RA(n) denote the number…