Representing numbers as the sum of squares and powers in the ring $\mathbb{Z}_n$ (1708.03930v2)

Abstract: We examine the representation of numbers as the sum of two squares in $\mathbb{Z}_n$ for a general positive integer $n$. Using this information we make some comments about the density of positive integers which can be represented as the sum of two squares and powers of $2$ in $\mathbb{N}$.