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PreprintCC BY 4.0arXiv

Density Bounds in Hua's Theorem for Prime Squares

  • Michael T. Lacey
  • Hamed Mousavi
  • Yaghoub Rahimi
  • Manasa N. Vempati
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Abstract

We prove a density version of Hua's theorem in the five-variable case: if š’« is a subset of the primes with relative lower density greater than $0.82$, then every sufficiently large nā‰”5pmod24 is a sum of five squares of primes from š’«.

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Cite

BibTeXRIS
BibTeX
@misc{lacey2026density,
  title = {{Density Bounds in Hua's Theorem for Prime Squares}},
  author = {Michael T. Lacey and Hamed Mousavi and Yaghoub Rahimi and Manasa N. Vempati},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.22747},
  eprint = {2610.22747},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.22747},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Density Bounds in Hua's Theorem for Prime Squares
AU  - Michael T. Lacey
AU  - Hamed Mousavi
AU  - Yaghoub Rahimi
AU  - Manasa N. Vempati
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.22747
UR  - https://arxiv.org/abs/2610.22747
AB  - We prove a density version of Hua's theorem in the five-variable case: if š’« is a subset of the primes with relative lower density greater than $0.82$, then every sufficiently large nā‰”5pmod24 is a sum of five squares of primes from š’«.
ER  -