The average number of representations of an integer as a sum of three or more primes, over multiples of a fixed integer

@misc{migliaccio2026average,
  title = {{The average number of representations of an integer as a sum of three or more primes, over multiples of a fixed integer}},
  author = {Alessandra Migliaccio and Alessandro Zaccagnini},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.08285},
  eprint = {2610.08285},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.08285},
  note = {CC BY-NC-ND 4.0},
}

TY  - UNPB
TI  - The average number of representations of an integer as a sum of three or more primes, over multiples of a fixed integer
AU  - Alessandra Migliaccio
AU  - Alessandro Zaccagnini
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2610.08285
UR  - https://arxiv.org/abs/2610.08285
AB  - We extend a result by Ikeda and Suriajaya (2025) to the average number of representations of an integer as a sum of an arbitrary number j≥ 3 of primes. We show that the corresponding asymptotic formula holds in the general case. In the proof we use new ingredients like averages for the singular series of the generalized Goldbach problem.
ER  -