English

Vinogradov's Theorem with Fouvry-Iwaniec Primes

Number Theory 2022-10-19 v2

Abstract

We show that every sufficiently large x3(4)x\equiv 3(4) can be written as the sum of three primes, each of which is a sum of a square and a prime square. The main tools are a transference version of the circle method and various sieve related ideas.

Keywords

Cite

@article{arxiv.1809.10008,
  title  = {Vinogradov's Theorem with Fouvry-Iwaniec Primes},
  author = {Lasse Grimmelt},
  journal= {arXiv preprint arXiv:1809.10008},
  year   = {2022}
}

Comments

60 pages. Updated version corrects several minor issues of original paper. To appear in Algebra and Number Theory