Timeline for A characteristic 2 polynomial recursion
Current License: CC BY-SA 3.0
25 events
| when toggle format | what | by | license | comment | |
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| Dec 7, 2016 at 18:49 | history | edited | paul Monsky | CC BY-SA 3.0 |
description of new answers added
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| Nov 5, 2015 at 15:18 | vote | accept | paul Monsky | ||
| Nov 5, 2015 at 15:16 | history | edited | paul Monsky | CC BY-SA 3.0 |
Gave an application of my first answer, deleted one of the further questions and added a tag.Corrected a typo.
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| Nov 1, 2015 at 11:46 | answer | added | paul Monsky | timeline score: 1 | |
| Oct 30, 2015 at 14:48 | answer | added | paul Monsky | timeline score: 3 | |
| Oct 27, 2015 at 18:16 | history | edited | paul Monsky | CC BY-SA 3.0 |
A new question related to the recursion is raised.
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| Oct 11, 2015 at 20:09 | history | edited | paul Monsky | CC BY-SA 3.0 |
Characteristic 3 analogues added, typo corrected.
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| Oct 11, 2015 at 19:19 | history | edited | paul Monsky | CC BY-SA 3.0 |
added 812 characters in body
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| Oct 2, 2015 at 3:10 | comment | added | Alexey Ustinov | $c(0)+c(1)+c(2)+\ldots=1+x^2+x^4+\ldots=(1+x^2)^{-1}$. | |
| Oct 2, 2015 at 0:40 | comment | added | paul Monsky | Then U_3 takes (r+r^2)*(r^2n) into what in your notation is (r+r^2)*(a(n) evaluated at r^2). So your a(n) describe the action of U_3 on the space of (odd) forms, while the c(n) describe the action of the (locally nilpotent) operator I+U_3 on the space. The situation is similar for the second equation. | |
| Oct 2, 2015 at 0:31 | comment | added | paul Monsky | Hi Will. Here's how the first equation arises. Let F and G be the mod 2 reductions of delta(z) and delta(3z). There is a mod 2 modular form of level 3, generating the ring of such forms, with r^4+r^3+r^2+r=F, and r^4+r^3=G, | |
| Oct 2, 2015 at 0:20 | comment | added | paul Monsky | Hi Joe. I've actually been on MO for 5 years as an unregistered user, but my old computer wasn't working well, so I started a separate account on the new one. Someday I'll get them merged. If you go into the modular forms or characteristic p tags, you can find my old questions and answers. | |
| Oct 1, 2015 at 23:20 | comment | added | Joe Silverman | Hi Paul, Welcome to MathOverflow. I edited your question to make it easier to read, hope you don't mind. I also fixed the Z_2 by changing it back to Z/2Z. Interesting question. | |
| Oct 1, 2015 at 23:17 | history | edited | Joe Silverman | CC BY-SA 3.0 |
Fixed the LaTeX to make it easier to read
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| Oct 1, 2015 at 22:24 | answer | added | Peter Mueller | timeline score: 2 | |
| Oct 1, 2015 at 21:13 | comment | added | Will Sawin | Do the coefficients for writing $c(n)$ as a sum of previous ones possibly stabilize? | |
| Oct 1, 2015 at 21:13 | comment | added | Will Sawin | WhaIt seems like $c(n)$ can be written as $a(n)+b(n)$ where $a(n)$ satisfies $c(n+4)=c(n+3)+(x^4+x^3+x^2+x)$ and $b(n) = x^n$. The equation for $a(n)$ is related to the curve $y^4-y^3 = x^4+x^3+x^2+x$. Do you think this perspective is unhelpful? | |
| Oct 1, 2015 at 20:40 | history | edited | paul Monsky | CC BY-SA 3.0 |
related question proposed
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| Sep 30, 2015 at 7:11 | comment | added | joro | @paulMonsky You can edit it yourself to Z/2, select "edit" below the question. | |
| Sep 30, 2015 at 6:37 | comment | added | paul Monsky | @KConrad Yes--my Z/2 got edited to Z_2, but the title shows I don't mean the 2-adics. | |
| Sep 30, 2015 at 5:05 | comment | added | KConrad | Are you writing $\mathbb Z_2$ for $\mathbb F_2$? | |
| Sep 30, 2015 at 1:44 | comment | added | Per Alexandersson | I edited to make it look good in LaTeX, but please check that $c(n)$ in the right set, that is, polynomials with coefficients taken mod 2. | |
| Sep 30, 2015 at 1:43 | history | edited | Per Alexandersson | CC BY-SA 3.0 |
texed
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| Sep 30, 2015 at 1:34 | review | First posts | |||
| Sep 30, 2015 at 2:05 | |||||
| Sep 30, 2015 at 1:33 | history | asked | paul Monsky | CC BY-SA 3.0 |