You are invited to the following talk!
Title: The Frumosu and Teodorescu-Frumosu Proof
Speaker: Dr James Sellers, Professor and Associate Head for Undergraduate Mathematics at Penn State University
Date and Time: Wednesday, 28 November 2012, 6pm
Location: 244E Olmstead Building
About the Talk
In the June 2012 issue of the MAA's MATHEMATICS MAGAZINE, Frumosu and Teodorescu-Frumosu proved that, for all integers m ≥2,
where the inner sum is taken over all p-term ordered partitions of m. Their proof is calculus-based, relying on power series manipulations. In this talk, we will show their original argument, and then we will provide a combinatorial proof of this identity (which Frumosu and Teodorescu-Frumosu requested at the end of their article). We then use the insights gained via this argument to prove numerous other results of a similar type. This is joint work with Jörn Olsson of the University of Copenhagen, Denmark.
FOOD WILL BE PROVIDED!
