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!
number-theory analytic-number-theory prime-twins sieve-theory
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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!
number-theory analytic-number-theory prime-twins sieve-theory
add a comment |Â
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!
number-theory analytic-number-theory prime-twins sieve-theory
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!
number-theory analytic-number-theory prime-twins sieve-theory
edited Aug 16 at 9:10
user1729
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16.8k64082
asked Aug 16 at 3:48
abc
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566413
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