Abstract For $$h \ge 2$$ h ≥ 2 and an infinite set of positive integers A , let $$R_{A,h}(n)$$ R A , ( n ) denote the number rep...

In 2010, Cilleruelo, Ruzsa, and Vinuesa established a surprising connection between the maximum possible size of generalized Sidon set in first $N$ natural numbers optimal constant an “analogous” problem concerning nonnegative-valued func