Manuel Hernández Rosales

An identity for the sum of residues related to Goldbach partitions

Abstract In this paper, we introduce the Goldbach varphi function, \varphi_{k}:\mathbb{Z}/p_{k}\#\mathbb{Z}\rightarrow\mathbb{R}, which provides a normalized representation of the remainder term in a double sieve of dimension \omega=2. We establish a fundamental identity connecti...