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 Yearling
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Apr
26
comment Generalizing Ramanujan's “1729 story”
Is it that different from finding "off the top of one's head" a representation of a three digit random integer as a sum of four or less squares?
Apr
25
asked For which primes $p$ is the field $\mathbb{Q}(\Gamma(1/p^{j}))$ a strict subfield of $\mathbb{Q}(\Gamma(1/p^{i}))$ whenever $0<i<j$?
Apr
25
accepted Have Grothendieck's notes in Montpellier already been investigated?
Apr
23
comment origin of analogy “primes as the atoms of number theory/ arithmetic”
As a matter of fact, atomic physics and number theory are not unrelated: the famous pair correlation conjecture by Montgomery involves the same function as random hermitian matrices used to model the energy levels in heavy atoms. Perhaps this kind of "coincidence" lies in the seemingly weird conception that math is in some sense "timeless physics". I tried to explain a little such a conception in math.stackexchange.com/questions/821881/…
Apr
14
accepted Does the equality of ranks imply equality of analytic ranks?
Apr
11
revised Roadmap to Geometric Representation Theory (leading to Langlands)?
Corrected spelling
Apr
11
suggested approved edit on Roadmap to Geometric Representation Theory (leading to Langlands)?
Apr
7
comment $\mathfrak{ufo}$: An unidentified combinatorial cardinal characteristic of the continuum?
In the same spirit, in French, my mother tongue, a large cardinal is translated as "grand cardinal". I have no idea how tall Mazarin or Richelieu were though.
Apr
6
asked Famous results about the value of a given limit assuming it exists
Apr
6
comment Any heuristics explaining why one seems to have $2n=p+q\Rightarrow\pi(p)+\pi(q)=Li(2n)+o(1)$?
What I mean is that it might be easier to find a decomposition of an even number from the one of a smaller one. For example, from $30=13+17$, one can expect to have $100=Li^{-1}(30)=p_{13}+p_{17}$. As a matter of fact, $p_{13}+p_{17}=41+59=100$.
Apr
5
revised Any heuristics explaining why one seems to have $2n=p+q\Rightarrow\pi(p)+\pi(q)=Li(2n)+o(1)$?
added 1 character in body; edited title
Apr
5
comment Any heuristics explaining why one seems to have $2n=p+q\Rightarrow\pi(p)+\pi(q)=Li(2n)+o(1)$?
Yes, Li(2n), thanks. Gonna edit. Maybe I should say "the nearest integer" to Li(2n), but I really must sleep now.
Apr
5
asked Any heuristics explaining why one seems to have $2n=p+q\Rightarrow\pi(p)+\pi(q)=Li(2n)+o(1)$?
Mar
13
awarded  Yearling
Mar
6
comment Nash's proof of De Giorgi-Nash-Moser theorem
At around 1:16:00, Villani explains, answering a question, that the fact that knowing the solution is continuous is useful to solve the PDE numerically. I don't know whether this fits what the OP looks for, but anyway, if it ever turns out that he or she doesn't understand spoken French, my answer will have been useless in any case!
Mar
6
comment Nash's proof of De Giorgi-Nash-Moser theorem
Should I delete my answer and just add the link in a comment then?
Mar
6
answered Nash's proof of De Giorgi-Nash-Moser theorem
Mar
6
awarded  Self-Learner
Mar
5
revised About Goldbach's conjecture
added 1075 characters in body
Feb
29
comment Collection of equivalent forms of Riemann Hypothesis
Very interesting. Is it anyhow related to the conjectural upper bound for the quantity $\alpha_{n}$ defined in mathoverflow.net/questions/61842/about-goldbachs-conjecture ?