[Fictionary] CAXON ballot (due 2/14) -- Eric wins!

[E Cohen]

> It's not nonsense. Here are graphs of the loop of խ(x+yi) for x=-1/16, -1/64,
> and -1/128. The maximum value, which occurs when y=0, is respectively about
> 50.3, 201, and 402. խ(z) is defined by a functional equation: խ(2z) is the
> arithmetic mean of խ(z) and խ(z+πi), and խ(2z+πi) is their geometric mean. It
> approaches 1 as x→-∞, is continuous on the left half-plane (the square root is
> chosen to make it so), and is real and monotonically increasing on the
> negative real axis. I've been studying this function for over a year and still
> haven't figured out why it looks like the circular inverse of a rectangular
> lattice with a tangle in the middle. Do any of you know a mathematician who'd
> be interested in this function? It also has a barrier beyond which it cannot
> be analytically extended, yet is not defined as a lacunary series.
Ah. Had not known you did math, now I know one kind of fictionition not 
to try.

-- Eric   |   @GoudyBoldItalic   |   post.news/goudybolditalic