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Open Access Publications from the University of California

The affine sieve

  • Author(s): Salehi Golsefidy, A
  • Sarnak, P
  • et al.

We establish the main saturation conjecture connected with executing a Brun sieve in the setting of an orbit of a group of affine linear transformations. This is carried out under the condition that the Zariski closure of the group is Levi-semisimple. It is likely that this condition is also necessary for such saturation to hold. © 2013 American Mathematical Society.

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