Proves a general probabilistic subbasis principle yielding subsets A of k-th powers or prime powers with r_{A,h}(n) realizing any admissible regularly varying F(n), including the singular series factor, for sufficiently large h.
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Waring and Waring-Goldbach subbases with prescribed representation function
Proves a general probabilistic subbasis principle yielding subsets A of k-th powers or prime powers with r_{A,h}(n) realizing any admissible regularly varying F(n), including the singular series factor, for sufficiently large h.