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arxiv: 1109.6432 · v1 · pith:VWNYGTVLnew · submitted 2011-09-29 · 🧮 math.NT · math.GR

Affine Sieve

Alireza Salehi Golsefidy , Peter Sarnak This is my paper
classification 🧮 math.NT math.GR
keywords affineconditiongroupsaturationsievebgs10bruncarried
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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.

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