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Affine Sieve

We establish the main saturation conjecture in [BGS10] 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.

preprint2011arXivOpen access
Alireza Salehi GolsefidyPeter Sarnak
math.GRmath.NT
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Alireza Salehi GolsefidyPeter Sarnak

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