The affine sieve

Alireza Salehi Golsefidy, Peter Sarnak

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)1085-1105
Number of pages21
JournalJournal of the American Mathematical Society
Issue number4
StatePublished - 2013

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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