Existence theorems for subsets A with r_A(n) ~ F(n) when F is regularly varying and F(n)/log n -> infinity, plus weaker big-O results and a heuristic on thin representations.
T´ afula,An extension of the Erd˝ os–Tetali theorem, Random Structures Algorithms55 (2019), no
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Representation functions with prescribed rates of growth
Existence theorems for subsets A with r_A(n) ~ F(n) when F is regularly varying and F(n)/log n -> infinity, plus weaker big-O results and a heuristic on thin representations.