O'Reilly logo

Mrs. Perkins's Electric Quilt by Paul J. Nahin

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

The Zeta Function—and Physics

Let us now pursue an apparently tangential path. We wish to consider one of the most fascinating and glamorous functions of analysis, the Riemann zeta function.

—Richard Bellman, A Brief Introduction to Theta Functions (1961)

7.1 A Curious Double Integral

Following Bellman’s lead, I’m going to take a break from falling objects with this discussion (don’t worry, we’ll get right back to that topic in the next discussion). This will be a mostly mathematical break, but at the end I will make a (speculative) connection with physics. So, consider the almost surely “too simple-looking to be important” double integral

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required