Math/Stats pros: I'm stumped on interpreting something trivial in a paper. Please help.

So I've been reading up on optimal betting strategies (e.g. kelly criterion) and this paper by Thorp is quite interesting. I'm trying to play around with his solutions in Matlab but I'm out of luck with interpreting what 'N' stands for.

Specifically, on page 8, line 20, he defines Eq. 3.1 which has the term 'N' in it. Now, he doesn't define N as a variable in that section, but does use it as the number of trials earlier in the Introduction section. However, N being the number of trials doesn't seem to make sense, since he uses 'n' for that purpose.

I've gone on to assume he means that N(.) is a function, like the Normal distribution, and that m and S^2 are used for that. This does not lead to his results either.

So, this is where I am. What does 'N' stand for? Any clues? This is likely to be an embarrassment to me, but whatever.

Thanks!