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

Source: [The average number of Goldbach representations over multiples of $q$](<https://www.sota2.com/research/paper/68fa5d561e209131ce9d965e>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T18:12:08.590Z

Authors: Karin Ikeda, Ade Irma Suriajaya

Published: 2024-05-07T13:37:40.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2405.04315>)

[PDF](<https://arxiv.org/pdf/2405.04315.pdf>)