bio | website | ma.utexas.edu/users/voloch |
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visits | member for | 5 years, 4 months |
seen | yesterday | |
stats | profile views | 11,237 |
<-------- 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 |
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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 |
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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 |
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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 |
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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 |
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Find all possible rational values of the parameter of a parametric cubic such that it is reducible
The curve is rational. |
Feb 25 |
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Most dense subset of numbers that avoids arbitrarily long arithmetic progressions
Is $n=N$ or what? |
Feb 8 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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? |