When the Sieve Works

نویسندگان

  • ANDREW GRANVILLE
  • DIMITRIS KOUKOULOPOULOS
  • KAISA MATOMÄKI
چکیده

We are interested in classifying those sets of primes P such that when we sieve out the integers up to x by the primes in P we are left with roughly the expected number of unsieved integers. In particular, we obtain the first general results for sieving an interval of length x with primes including some in ( √ x, x], using methods motivated by additive combinatorics.

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تاریخ انتشار 2012