You're reading: Apéryodical

Apéryodical: Scratch and sniff ζ plot

zeta-plot

Christian’s put together this fun applet for exploring the Zeta function – you can move your pointer around to reveal the value of $\zeta$ at each point in the complex plane.

The hue (colour) revealed is the argument of the value, and the lightness (bright to dark) represents the magnitude. There’s a blog post over at Gandhi Viswanathan’s Blog explaining how it works.

The resulting plot has contour lines showing how the function behaves.

Explore!

Apéryodical takeover: It’s Roger Apéry’s 100th birthday!

aperyhat

Today is the 100th anniversary of Roger Apéry’s birth, and we’re The Aperiodical, so we just had to make a big deal of it.

So, for all of today, we’re The Apéryodical. Throughout today we’ve got a few posts about Apéry and the thing he’s most closely associated with: the Riemann zeta function.

For now, here’s a really big ζ. You’ll need it later.

ζ