September 2017 October 2017 |

4:00 pm Friday, October 27, 2017 Undergraduate Colloquium: Ford Circlesby Arindam Roy (Rice) in HBH 227- Let p and q are relatively prime positive integers with p less than q. A Ford circle C(p/q) is a circle lying in the upper half plane tangent to the point p/q on the real line with radius 1/2q^2. We will show you some interesting features of Ford circles. They never intersect each other. The sum of the area of Ford circles is computable and equal to (pi)(zeta(3))/4zeta(4). If time permits then we will describe the method to count the Ford circles up to a given radius.
Submitted by sswang@rice.edu |