Waring and Waring-Goldbach subbases with prescribed representation
function
Waring and Waring-Goldbach subbases with prescribed representation
function
We study representations of integers as sums of $h$ elements from subsets of $k$-th powers $\mathbb{N}^k$ and $k$-th powers of primes $\mathbb{P}^k$ for $k \geq 1$. Extending work by Vu, Wooley, and others, we show that for $h \geq h_k = O(8^k k^2)$, if $F$ is a regularly varying function …