Re: [math-fun] binary roulette wheels

Jim Propp wrote: ----- I believe there is a sense in which the Riemann zeta function on the critical line exhibits the sort of behavior Dan is looking for. If I recall correctly, for any continuous real-valued function f on any finite interval, and for any positive epsilon, there’s an interval on the critical line such that the zeta function differs from f by less than epsilon everywhere on the interval. ----- Aha, maybe I heard of something like that once, too. Googling led to this article: <https://en.wikipedia.org/wiki/Zeta_function_universality>. It is apparently a 2-dimensional approximation in the critical strip (not line), which I guess allows for more wiggle room. —Dan