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Jul
2
awarded  Nice Answer
Jul
2
revised Reference requests: Jitsuro Nagura
corrected date
Jul
1
accepted Change of limits of integration: $ \int_2^x \frac{\pi(x/u)}{\log u}du$
Jul
1
revised Change of limits of integration: $ \int_2^x \frac{\pi(x/u)}{\log u}du$
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Jul
1
asked Change of limits of integration: $ \int_2^x \frac{\pi(x/u)}{\log u}du$
Jun
30
comment A passage in the newman proof of the prime number theorem.
Newman's short proof, Zagier, p.707. Your inequality should be $\int \frac{\theta(t)-t}{t^2}dt \geq...$ Might be confusing to someone who didn't have the paper.
Jun
29
revised Estimating $\sum_{p_2 \leq x} (\log p_2)^2$
added 58 characters in body
Jun
29
revised Reference requests: Jitsuro Nagura
deleted 44 characters in body
Jun
29
revised Reference requests: Jitsuro Nagura
added link to recent paper
Jun
28
comment Estimating $\sum_{p_2 \leq x} (\log p_2)^2$
$\pi(n)$ is not $\pi_2(n)$
Jun
28
comment Estimating $\sum_{p_2 \leq x} (\log p_2)^2$
Thanks will do.
Jun
28
asked Estimating $\sum_{p_2 \leq x} (\log p_2)^2$
Jun
26
comment What is the value of $\sum\limits_{i=1}^\infty\frac{1}{p_{p_i}}$ where $p_{i}$ is the $i$th prime?
OEIS A006450 and a comment that the sum of reciprocals of the sequence converges, along with a brief explanation of why. A cite too. 'Primes with a prime subscript', Dressler et al., JACM vol 22, issue 3 pp 380-81 (1975)
Jun
22
comment How Does A Precessing Sphere Precess?
If we specify an axis of rotation for a sphere and assign coordinates we can speak intelligibly about variation in the orientation of the axis.
Jun
22
comment How Does A Precessing Sphere Precess?
Ah, I am confused. You indicate that a perfect sphere won't precess, then you seem to agree that from a math. viewpoint the shape of the body is irrelevant. Can a perfect sphere precess or not, from a mathematical standpoint?
Jun
22
comment How Does A Precessing Sphere Precess?
I think the answer is yes, if precession is a "change in the orientation of the axis of rotation." The absence of rotation doesn't mean there isn't an axis of rotation--in the abstract we could choose one arbitrarily. Of course if there is no spin the motion of a point on the surface of the sphere will be different.
Jun
22
comment How Does A Precessing Sphere Precess?
Not an answer but "precession" will give better search results than "wobbling."
Jun
16
comment Question about Selberg's formula
For some reason I was fretting about the -x term but if $(x\ln x - x )\sim x \ln x,$ your answer would indicate the answer to the original question is actually yes...is that correct?
Jun
15
comment Question about Selberg's formula
The first few lines of this are really nice and the technique seems very handy. Is there a current text containing proofs along these lines you might recommend?
Jun
14
accepted Question about Selberg's formula