The affine sieve
Published Web Locationhttps://doi.org/10.1090/S0894-0347-2013-00764-X
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.