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<-------- Over there, you'll find my website.


Mar
27
reviewed No Action Needed Concise model of modern fiat money and its non-conservation
Mar
18
comment Find all possible rational values of the parameter of a parametric cubic such that it is reducible
@j.c. But then wouldn't changing $\eta$ to $-\eta$ switch between the two?
Mar
17
comment Find all possible rational values of the parameter of a parametric cubic such that it is reducible
But what does it actually mean? I would understand $\beta_+ = 1 + \eta, \beta_- = 1 - \eta$ but I don't actually know the difference between $1 \pm \eta$ and $1 \mp \eta$.
Mar
17
comment Find all possible rational values of the parameter of a parametric cubic such that it is reducible
@j.c. Oh, I missed that, there are two different betas in the polynomial. I need to redo this. Thanks.
Mar
17
answered Find all possible rational values of the parameter of a parametric cubic such that it is reducible
Mar
17
comment Find all possible rational values of the parameter of a parametric cubic such that it is reducible
@LorenzMenke I said the curve is rational, as in parametrizable by rational functions.
Mar
17
comment Find all possible rational values of the parameter of a parametric cubic such that it is reducible
The curve is rational.
Feb
25
comment Most dense subset of numbers that avoids arbitrarily long arithmetic progressions
Is $n=N$ or what?
Feb
8
comment Mazur secret Bourbaki report “Analyse p-adique”
@DanielMoskovich Barry Mazur is not dead, far from it, in fact he even has a webpage where posts preprints sometimes. I'd suggest that Keith email Barry the scanned pdf so he can put it on his webpage or on the arxiv if he wants.
Feb
6
comment What is a Frobenioid?
"Perhaps this is a key reason he can't understand why the rest of us are so reluctant." So you empathize with him even though he doesn't empathize with you.
Feb
1
awarded  Guru
Jan
10
awarded  Nice Answer
Jan
9
comment What is the longest recorded gap between “proof” of a “theorem” and discovery that the result is false
Plemelj "solved" Hilbert's 21st problem in 1908 and Bolibrukh gave a counterexample in 1990. But I am going to vote to close.
Jan
4
reviewed Close Research and exposition: how does writing “basic” books affect your “serious” research work?
Jan
3
comment Is it possible on an elliptic curve both $x,y$ to be arbitrary large powers infinitely often?
You are essentially looking for rational points on a curve $f(x^2,y)=0$ or $f(x^2,y^2)=0$ depending on your condition. So you have to work out if the curve has genus 1 or > 1, which depends on whether the obvious cover is unramified or not. This is not an MO question.
Dec
29
comment polynomials in many variables and Hasse principle
If $f(x,y)=0$ is a counterexample in two variables then $f(x_1+\ldots+x_n,y)=0$ is also.
Dec
28
reviewed Close classification of Nilpotent Leibniz Algebra
Dec
27
comment More on Vojta's exceptional set for a more general abc conjecture
$q < 1 + \epsilon$ outside of $Z_{\epsilon}$ so $q \le 1$ outside of the union of all $Z_{\epsilon}$. The original ABC which I guess is $n=3$ in your notation doesn't have an excepcional set, you only need it for $n>3$. Meanwhile Michael answered your question.
Dec
27
comment More on Vojta's exceptional set for a more general abc conjecture
Your interpretation that $\limsup q = 1$ outside a Zariski closed subset is incorrect. For every $\epsilon > 0$ there is a Zariski closed subset but it depends on $\epsilon$. As $\epsilon \to 0$ the union of these Zariski closed subsets may well be Zariski dense. I haven't looked at your example to see if in fact that's what you are getting.
Dec
25
reviewed Close Why is $ \frac{\pi^2}{12}=\ln(2)$ not true?