## MaBloWriMo

I’m at least a day behind, but I’m thinking I might try this “Math Blog Writing Month” suggested by Charles Siegel over at Rigorous Trivialities.

I know nearly nothing about the RH. You take a function defined by an infinite series, extend to the complex plane, notice that the zeroes have to lie in a particular region, and then the claim is that you can narrow down that region even more. Great. Why do I care about the zeroes of this function? Oh, right, because they are related to the distribution of the primes. And how is that again? I have no idea. Probably I should be embarrassed about this, being a math graduate student and not knowing the math behind the most famous open problem.

Well, now seems like as good a time as any to learn more. Farey sequences look fun, and close to some pretty pictures (Ford circles and the ? function). And so my plan is to learn enough about all of that, and the RH, to see if I can understand the relationship between the two. Not so that I can try to prove RH, mind you (I seriously have no delusions about this). It just seems like a fun thing to learn about. Plus maybe it’ll give me an excuse to give a talk in my department’s “graduate seminar”, which I always think is a fun thing to do.

I’ve got a few sources that I plan on looking at (and, indeed, have already been looking at). I found Rademacher’s “Higher Mathematics from an Elementary Point of View” to be quite delightful, and it contains information about the Farey and Ford part of the story. Of course, H&W might also help out here. I’ve got some papers tucked away somewhere I may dig up as well, and when I do, I’ll mention them. And, on the Riemann side of the story, I think I’ll look at Edwards’ “Riemann’s Zeta Function”, which has a section on the connection with Farey sequences.

I figure I’ll try to read at least a little bit every day, and share what I come across here. Perhaps in a month I’ll have some vague understanding (goal: less vague than it is now) about what’s going with the topic. Or perhaps I’ll crap out after a week (or less). But for now, let’s say I’m trying. Starting off a day late (and with an essentially non-mathematical post) means I probably should try to find a day or two and write more than one post. We’ll see. Also, I don’t expect I’ll get close to the 1000 word mark very often. We’ll see.

Tags: , ,

### One Response to “MaBloWriMo”

1. Carnival of Mathematics #60 « ∑idiot's Blog Says:

[...] Qiaochu Yuan at Annoying Precision, Harrison Brown at Portrait of the Mathematician and, well, yours truly. I found it to be a great experience, and hope next year brings many more authors. If you like your [...]