The affine sieve

Alireza Salehi Golsefidy, Peter Sarnak

Research output: Contribution to journalArticlepeer-review

17 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 languageAmerican English
Pages (from-to)1085-1105
Number of pages21
JournalJournal of the American Mathematical Society
Issue number4
StatePublished - 2013

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


Dive into the research topics of 'The affine sieve'. Together they form a unique fingerprint.

Cite this