The average number of Goldbach representations over multiples of $q$

Abstract

We discuss the evaluation of the average number of Goldbach representations for integers which are multiples of $q$ introduced by Granville. We improve an estimate given by Granville under the generalized Riemann hypothesis.

12 pages

References in corpus (3)

• On an Average Goldbach Representation Formula of Fujii
• The Average Number of Goldbach Representations and Zero-Free Regions of the Riemann Zeta-Function
• On a smoothed average of the number of Goldbach representations