On the representation of a number as the sum of a prime and two squares of square-free numbers
Volume 182 / 2018
Acta Arithmetica 182 (2018), 201-229
MSC: Primary 11P32.
DOI: 10.4064/aa8514-9-2016
Published online: 26 January 2018
Abstract
Let ${\Upsilon }(n)$ be the number of representations of $n$ as the sum of a prime and the squares of two square-free numbers. Then we find an asymptotic positive lower bound for ${ \Upsilon }(n)$ that implies that all sufficiently large numbers $n$ have such a representation.
