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Apr
6
comment Any heuristics explaining why one seems to have $2n=p+q\Rightarrow\pi(p)+\pi(q)=Li(2n)+o(1)$?
Dear @Joël: One can in fact resolve your question in the negative. The point is that there will be many Goldbach solutions with $p$ and $q$ both pretty close to $n$ (at least for many numbers $n$) and then $2 \text{Li}(n)$ (which will be a very good approximation to $\pi(p)+\pi(q)$) does differ significantly from $\text{Li}(2n)$ (in terms of size $n/(\log n)^2$).
Apr
5
awarded  Enlightened
Apr
5
awarded  Nice Answer
Apr
5
revised Do there exist infinitely many $n$ such that $n^3+an+b$ is squarefree?
added 14 characters in body; edited title
Apr
5
revised Do there exist infinitely many $n$ such that $n^3+an+b$ is squarefree?
added 224 characters in body
Apr
5
answered Do there exist infinitely many $n$ such that $n^3+an+b$ is squarefree?
Apr
2
reviewed Leave Closed Parallel transport on simplicial manifold?
Apr
1
comment What is the mistake in the proof of the Homotopy hypothesis by Kapranov and Voevodsky?
The Executive Editor for Math Reviews has provided a relevant portion of a review which would otherwise not be freely available to everyone. This seems worthwhile to me, even if it doesn't answer the question fully. Why are people downvoting this answer?
Mar
31
reviewed Close Find the values of $n$ that satisfy this inequality involving a product over prime numbers
Mar
30
reviewed Close Building the string on $\{0,1\}$ alphabet with $\Omega(n^{2})$ different substrings
Mar
28
reviewed Leave Open How I can prove the equality $P^{P_{\operatorname{space}}}=NP^{P_{\operatorname{space}}}=P_{\operatorname{space}}^{P_{\operatorname{space}}}$
Mar
16
reviewed No Action Needed aproximate sum involving binomial coefficients
Mar
15
awarded  Nice Answer
Mar
14
comment Could this unexpected bias in the distribution of consecutive primes have any impact on the security of encryption algorithms?
Hard to see how.
Mar
13
reviewed Close Reference for Connes Bourbaki membership or otherwise
Mar
8
comment What was a cusp to Hurwitz in 1892?
This is an interesting question for MO -- I would prefer it stay here than get migrated elsewhere.
Mar
5
reviewed Reopen Eliminating Gibbs phenomenon, and approximating with jumping functions in Fourier Analysis : An attempt and a question in this regard
Mar
4
awarded  Nice Answer
Feb
28
comment Can the Dedekind zeta function distinguish between real and imaginary quadratic number fields?
Not clear what you mean by an algorithm here. What is the input size? For example, you could divide your series by zeta, and get a Dirichlet L-function and then check to see if you can identify the period of those coefficients etc. Sounds like an interesting question, but it might need to be made more precise.
Feb
23
awarded  Enlightened