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2h
reviewed Leave Open Elliptic curves with trace of Frobenius values always congruent to 0 modulo 2
9h
reviewed Looks OK Game on the tree
11h
reviewed Leave Closed Applications of infinite permutations
11h
reviewed Close Good Intermediate text on ODEs for self-study (meaning solved problems)
22h
comment Exponential Sum Bound
Dougal's link is valuable of course, but it's amazing to me that a reference to the paper gets more upvotes here than a response by the author himself.
1d
reviewed Close Translation of the paper titled “ Quelques remarques sur les groupes de Lie algebriques reels”
1d
reviewed Leave Open Prime order elements in $GL(n,\mathbb{Z})$
1d
reviewed Close Applications of infinite permutations
1d
reviewed Leave Open An angle-doubling trick of Kirillov and Berenstein
2d
comment Dynamics in the integers - Floor function
For the second part use Weyl's equidistribution theorem which shows that the limit is $1-\alpha N$.
2d
reviewed Leave Closed Proof without words for surface area of a sphere
Aug
26
comment Finding integer points on elliptic curves via divisibility conditions like $(a+b)^2 \mid (2b^3+6ab^2-1)$
I think $k$ is a about size $b$, which is roughly $\ell-m$. Knowing that this is at least $5$ doesn't help, or hurt, the computations of GH from MO. In the notation of the original question, GH from MO's computations have disproved the conjecture if the condition had been $b<a<8b$.
Aug
25
awarded  Nice Answer
Aug
25
reviewed Looks OK if V(f) is irreducible, then how to show that the polynomial f itself is irreducible?
Aug
25
reviewed Close if V(f) is irreducible, then how to show that the polynomial f itself is irreducible?
Aug
25
comment Finding integer points on elliptic curves via divisibility conditions like $(a+b)^2 \mid (2b^3+6ab^2-1)$
@GHfromMO: Your values seem to give $C$ more like $0.04$ rather than $0.4$? (I mean the $C$ in the $C \log x$ of my answer.) This is why I thought there may be a typo there.
Aug
25
comment prime number sequence and the tendency
Seems to me like a duplicate of mathoverflow.net/questions/164936/… . Is that roughly what you want to ask?
Aug
25
comment Finding integer points on elliptic curves via divisibility conditions like $(a+b)^2 \mid (2b^3+6ab^2-1)$
@GHfromMO: That's very nice! If we think of a Poisson process, then maybe one expects to find no counterexample around size $10^{10}$ with probability $1/e$, and finding no counterexample of size $10^{20}$ with probability $1/e^2$ etc. Also, I'm not completely sure of the numerical value you give for $C$ -- maybe a typo somewhere? (If $C$ is really as big as $0.4$ wouldn't you expect counterexamples sooner?)
Aug
25
reviewed No Action Needed What is the correct statement of this Erdös-Gallai-Tuza problem generalizing Turan's triangle theorem?
Aug
25
revised Finding integer points on elliptic curves via divisibility conditions like $(a+b)^2 \mid (2b^3+6ab^2-1)$
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