Displaying similar documents to “Waring's problem for polynomial cubes and squares over a finite field with odd characteristic.”

On the sum of two squares and two powers of k

Roger Clement Crocker (2008)

Colloquium Mathematicae

Similarity:

It can be shown that the positive integers representable as the sum of two squares and one power of k (k any fixed integer ≥ 2) have positive density, from which it follows that those integers representable as the sum of two squares and (at most) two powers of k also have positive density. The purpose of this paper is to show that there is an infinity of positive integers not representable as the sum of two squares and two (or fewer) powers of k, k again any fixed integer ≥ 2. ...