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

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.

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Publication Details

Journal
Functiones et Approximatio Commentarii Mathematici
Published
2025-03-14
DOI
https://doi.org/10.7169/facm/240922-30-1
Primary Topic
Analytic Number Theory Research
Type
article
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article

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

Karin Ikeda, Ade Irma Suriajaya
Functiones et Approximatio Commentarii Mathematici
Analytic Number Theory Research
article

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

Karin Ikeda, Ade Irma Suriajaya
article en

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.

Functiones et Approximatio Commentarii MathematiciVol. 73(2)
Decent work and economic growth
Openalex Percentile: Top 92%
Analytic Number Theory Research
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The average number of Goldbach representations over multiples of $q$ — Karin Ikeda, Ade Irma Suriajaya · Functiones et Approximatio Commentarii Mathematici (2025) | TGRS Research Map | TGRS