Behold! At last it is done!
Apr. 4th, 2012 10:38 pm![[personal profile]](https://www.dreamwidth.org/img/silk/identity/user.png){kind=small}
sniffnoyWell, essentially done. We'll have to see what the referee says the second time around. And of course this is only the first of, what, five papers now?
For now I've just put it up at http://www-personal.umich.edu/~haltman/ogshort.pdf ; I'll update the website's front page shortly. (Edit: That's done now.) Then I'll have to ask Jeff about putting it on arXiv...
So, yeah -- a lot had to be cut out in order to keep it at a reasonable length. In there is Josh's method, computations up to 12δ(2) (did I mention we're denoting defect of n by δ(n) now?), proof that 2213k works, and proof that Ak(x)=Θ((log x)k+1).
Gone are the formulae for Er(k), and long gone is anything related to well-ordering. Those will have to wait. (This is part of why there are so many papers now.)
Now Jeff wants me to get started on writing the well-ordering paper like immediately... oh well...
Addendum: Heh, Jeff has already emailed me with a few typos. Now fixed in this version. We'll see if the referee catches them.
Further addendum: OK, let's not turn this into a "point out the typos" thread. I've found more since then and I've been correcting them as I find them...
-Harry
For now I've just put it up at http://www-personal.umich.edu/~haltman/ogshort.pdf ; I'll update the website's front page shortly. (Edit: That's done now.) Then I'll have to ask Jeff about putting it on arXiv...
So, yeah -- a lot had to be cut out in order to keep it at a reasonable length. In there is Josh's method, computations up to 12δ(2) (did I mention we're denoting defect of n by δ(n) now?), proof that 2213k works, and proof that Ak(x)=Θ((log x)k+1).
Gone are the formulae for Er(k), and long gone is anything related to well-ordering. Those will have to wait. (This is part of why there are so many papers now.)
Now Jeff wants me to get started on writing the well-ordering paper like immediately... oh well...
Addendum: Heh, Jeff has already emailed me with a few typos. Now fixed in this version. We'll see if the referee catches them.
Further addendum: OK, let's not turn this into a "point out the typos" thread. I've found more since then and I've been correcting them as I find them...
-Harry
no subject
Date: 2012-04-05 09:14 am (UTC)I only read the Spanish that is inside it. In Spanish a final s is always
plural, but English has the "defect" of being ambiguous on this point.
How can I detect it?
I can detect a misspelling, but you are a champion on this!
Well the first typo is not corrected in the version in your web page
p. 4 line 4 say: "to obtain an generalization"
I am not 100% sure but it is an a?
Juan