Lucia
Reputation
Next privilege 25,000 Rep.
 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