Equidistribution of ${p_n^2 alpha }$
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Let $p_n$ be the $n$th prime and $alpha$ an irrational number. Vinogradov proved that the sequence ${p_n alpha }$ is equidistributed. Is it known whether the sequence ${p_n^2 alpha }$ is equidistributed?
I decided to crosspost to mathoverflow.
number-theory ergodic-theory diophantine-approximation equidistribution
asked Dec 23 '18 at 7:43
zoidbergzoidberg
1,080113
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add a comment |
$begingroup$
Let $p_n$ be the $n$th prime and $alpha$ an irrational number. Vinogradov proved that the sequence ${p_n alpha }$ is equidistributed. Is it known whether the sequence ${p_n^2 alpha }$ is equidistributed?
I decided to crosspost to mathoverflow.
number-theory ergodic-theory diophantine-approximation equidistribution
asked Dec 23 '18 at 7:43
zoidbergzoidberg
1,080113
$endgroup$
add a comment |
$begingroup$
Let $p_n$ be the $n$th prime and $alpha$ an irrational number. Vinogradov proved that the sequence ${p_n alpha }$ is equidistributed. Is it known whether the sequence ${p_n^2 alpha }$ is equidistributed?
I decided to crosspost to mathoverflow.
number-theory ergodic-theory diophantine-approximation equidistribution
asked Dec 23 '18 at 7:43
zoidbergzoidberg
1,080113
$endgroup$
Let $p_n$ be the $n$th prime and $alpha$ an irrational number. Vinogradov proved that the sequence ${p_n alpha }$ is equidistributed. Is it known whether the sequence ${p_n^2 alpha }$ is equidistributed?
I decided to crosspost to mathoverflow.
number-theory ergodic-theory diophantine-approximation equidistribution
number-theory ergodic-theory diophantine-approximation equidistribution
asked Dec 23 '18 at 7:43
zoidbergzoidberg
1,080113
asked Dec 23 '18 at 7:43
zoidbergzoidberg
1,080113
edited Dec 24 '18 at 1:14
zoidberg
asked Dec 23 '18 at 7:43
zoidbergzoidberg
1,080113
asked Dec 23 '18 at 7:43
zoidbergzoidberg
1,080113
asked Dec 23 '18 at 7:43
zoidbergzoidberg
1,080113
1,080113
add a comment |
add a comment |
1 Answer
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Yes, any polynomial in the primes with a non-constant irrational coefficient is equidistributed. See the mathoverflow answer.
answered Dec 24 '18 at 1:13
zoidbergzoidberg
1,080113
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add a comment |
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$begingroup$
Yes, any polynomial in the primes with a non-constant irrational coefficient is equidistributed. See the mathoverflow answer.
answered Dec 24 '18 at 1:13
zoidbergzoidberg
1,080113
$endgroup$
add a comment |
$begingroup$
Yes, any polynomial in the primes with a non-constant irrational coefficient is equidistributed. See the mathoverflow answer.
answered Dec 24 '18 at 1:13
zoidbergzoidberg
1,080113
$endgroup$
add a comment |
$begingroup$
Yes, any polynomial in the primes with a non-constant irrational coefficient is equidistributed. See the mathoverflow answer.
answered Dec 24 '18 at 1:13
zoidbergzoidberg
1,080113
$endgroup$
Yes, any polynomial in the primes with a non-constant irrational coefficient is equidistributed. See the mathoverflow answer.
answered Dec 24 '18 at 1:13
zoidbergzoidberg
1,080113
answered Dec 24 '18 at 1:13
zoidbergzoidberg
1,080113
answered Dec 24 '18 at 1:13
zoidbergzoidberg
1,080113
answered Dec 24 '18 at 1:13
zoidbergzoidberg
1,080113
1,080113
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