The affine sieve

Salehi Golsefidy, Alireza; Sarnak, Peter

doi:10.1090/S0894-0347-2013-00764-X

The affine sieve
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by Alireza Salehi Golsefidy and Peter Sarnak;

J. Amer. Math. Soc. 26 (2013), 1085-1105

DOI: https://doi.org/10.1090/S0894-0347-2013-00764-X

Published electronically: April 1, 2013

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Abstract:

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.

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