The sieve formula choosen in Zhang's breakthrough work in Twin Prime conjecture

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In the breakthrough work of the proof of weak twin prime conjecture, Goldstone, Pintz and Yildirim as well as Zhang use the following modified Selberg sieve:



$v=lambda^2$



where $lambda(n)$takes the form



$lambda(n) = sum_P(n) mu(d)a_d$



and choose
$a_d := gleft(fraclog dlog Rright)$



where g is A smooth function



I just ask a question that why is $a_d$ choosen in this form, what is the motivation for that? Thanks!







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    In the breakthrough work of the proof of weak twin prime conjecture, Goldstone, Pintz and Yildirim as well as Zhang use the following modified Selberg sieve:



    $v=lambda^2$



    where $lambda(n)$takes the form



    $lambda(n) = sum_P(n) mu(d)a_d$



    and choose
    $a_d := gleft(fraclog dlog Rright)$



    where g is A smooth function



    I just ask a question that why is $a_d$ choosen in this form, what is the motivation for that? Thanks!







    share|cite|improve this question
























      up vote
      1
      down vote

      favorite









      up vote
      1
      down vote

      favorite











      In the breakthrough work of the proof of weak twin prime conjecture, Goldstone, Pintz and Yildirim as well as Zhang use the following modified Selberg sieve:



      $v=lambda^2$



      where $lambda(n)$takes the form



      $lambda(n) = sum_P(n) mu(d)a_d$



      and choose
      $a_d := gleft(fraclog dlog Rright)$



      where g is A smooth function



      I just ask a question that why is $a_d$ choosen in this form, what is the motivation for that? Thanks!







      share|cite|improve this question














      In the breakthrough work of the proof of weak twin prime conjecture, Goldstone, Pintz and Yildirim as well as Zhang use the following modified Selberg sieve:



      $v=lambda^2$



      where $lambda(n)$takes the form



      $lambda(n) = sum_P(n) mu(d)a_d$



      and choose
      $a_d := gleft(fraclog dlog Rright)$



      where g is A smooth function



      I just ask a question that why is $a_d$ choosen in this form, what is the motivation for that? Thanks!









      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Aug 16 at 9:10









      user1729

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      16.8k64082










      asked Aug 16 at 3:48









      abc

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