If on the other hand you're just collecting a bunch of interesting problems for people to try, then rock on
There are enough 'real' STEP papers, I think. I am looking for something more 'unique'.
My personal view is a paper, similar to STEP but slightly more involved, that people may enjoy after the actual STEP exams. I also see it as an excellent opportunity to introduce people to some university mathematics, presented as STEP-like questions. (for example, Riemann's zeta function question, Fourier series, your question, the other similar questions suggested...)
It is possible that we split the questions in two: one normal paper and one a bit more advanced.
What is other people's view on what this paper(s) should look like?
I agree about the Riemann zeta function one, but the Fourier series one is fine in my opinion. It's not like university bookwork stuff doesn't appear on STEP. There was a question that gave the definition of Laplace transform and basically asked to derive the Laplace transform of several trivial functions. That's not much different than the Fourier series one. I remember another one proving the rational root theorem. I could name many others (and I haven't done that many STEP papers at all). My point is that STEP is not as clean (in the sense of not being bookwork) as we may think.
I've been reading lots of theoretical physics things since STEP ( fluid mechanics, relativity, that sort of thing) and it seems to really appeal to me...
General relativity is being lectured in part II next term, and I am seriously tempted
I've been reading lots of theoretical physics things since STEP ( fluid mechanics, relativity, that sort of thing) and it seems to really appeal to me...
General relativity is being lectured in part II next term, and I am seriously tempted