On Additive Bases (II)
Jean‐Marc Deshouillers, Étienne Fouvry · Journal of the London Mathematical Society · 1976
The following result, conjectured by P. Erös, A. Sárközi and J. -M. Deshouillers is proved: for every sequence K of positive integers, there exists a sequence of integers A such that the set of the kth powers of the elements of A is an additive basis if and only if k belongs to K.