fascinating. Is this because we can freely tune Taylor series coefficients as closely as we like by moving along the critical line?
On Oct 3, 2020, at 4:42 PM, Dan Asimov <dasimov@earthlink.net> wrote:
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
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