@anon the extent of my group theoretic knowledge is sylow's theorems
@anon doing original research on group theory would be out of my ability!
on a note of irony, my elementary number theory professor was a finite group theorist who taught it without any group theory and my first abstract algebra professor was a number theorist who taught it also without any group theory!
@JacobSchlather I know, but the precursor is the author's thesis and is like an entire book, not available online. It seems like the sort of thing that would exist independent of a single person's thesis though, or at least verifiable with a short proof.
but if the problem is seriously his behavior in the chat room what is the issue behind prohibiting him from the chat room and limiting him to the main site?
Hello! I was wondering if someone could help with a basic, quick question about algebraic geometry!
In particular, my question is thus: let p_1, p_2, p_3 be polynomials over some field k. If V(p_1,p_2) shares a component with V(p_3), must it be the case that V(p_3) shares a component with either V(p_1,p_2)?
@anon i've been cleaning up the unanswered elliptic curve questions. if you see any answers that are CWs can you upvote them? They were answered in the comments and I posted those comments as answers in the form of CWs.
(I meant collecting every item / completing every sidequest when I said fully.)
Do you mean the limited edition collector's disc for GCN? You can also get it on Wii's VC (though I guess it won't have the water temple augmentation..)
What I'm after is "As a math educator, do you think it is appropriate to insist that students say "negative 0.8" and not "minus 0.8" to denote −0.8"?
@AméricoTavares, @skullpatrol : Sir can you help me in proving (p^m+3)(p^a-1)+4 is never a perfect square where p is an odd prime and m=2n+a, and n>0 and p>3.
@mixedmath : Sir, very happy to see you, can you help me with this, Sir can you help me in proving (p^m+3)(p^a-1)+4 is never a perfect square where p is an odd prime and m=2n+a, and n>0 and p>3.
@BenjaminLim I don't know much about it. I have a friend who's starting to go in that direction, and he told me he's avoiding it, I think. But that might be because he likes Spivak-style stuff more
@mixedmath : Sir there is no source of the problem, my friend has posed it to me, and his teacher posed it to him. But that is proved...I am looking for proof.
Searching for integrals is tough, it is not just as i could search for $$\int_0^\infty \frac{\log\left(x^2+1 \right)}{x^2+1}\,\mathrm{d}x$$ on the site. Sigh.
There are some basic things about convergence of the Zeta function in the critical strip that I don't understand. That is when I expand: Zeta[1/2 + I*c]
Mathematica gives me the usual expression with mulitple derivatives of the zeta function.
But when I try to calculate the sums in the way they appear here: http://mobiusfunction.wordpress.com/2012/06/13/series-expansion-of-riemann-zeta-function/
I get that the sums in front of powers of "c" don't converge according to Mathematica.
To clarify, this: Sum[1/n^(1/2)*Log[1/n], {n, 1, Infinity}]
