Corpus ID: 235446742

A transference principle for systems of linear equations, and applications to almost twin primes

  title={A transference principle for systems of linear equations, and applications to almost twin primes},
  author={Pierre-Yves Bienvenu and X. Shao and Joni Teravainen},
The transference principle of Green and Tao enabled various authors to transfer Szemerédi’s theorem on long arithmetic progressions in dense sets to various sparse sets of integers, mostly sparse sets of primes. In this paper, we provide a transference principle which applies to general affine-linear configurations of finite complexity. We illustrate the broad applicability of our transference principle with the case of almost twin primes, by which we mean either Chen primes or “bounded gap… Expand


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