We show that every sufficiently large $x\equiv 3(4)$ 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.Comment: 52 page

Grimmelt, Lasse

English

arXiv

We show that every sufficiently large $x\equiv 3(4)$ 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.Comment: 60 pages. Updated version corrects several minor issues of original
  paper. To appear in Algebra and Number Theor

Vinogradov's Theorem with Fouvry-Iwaniec Primes

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