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

Number Theory 2025-04-30 v4

Abstract

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

Keywords

Cite

@article{arxiv.2405.04315,
  title  = {The average number of Goldbach representations over multiples of $q$},
  author = {Karin Ikeda and Ade Irma Suriajaya},
  journal= {arXiv preprint arXiv:2405.04315},
  year   = {2025}
}

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12 pages