Combinatorial number theory arising from algebraic topology.
Combinatorial number theory arising from algebraic topology.

Don Davis , Lehigh University
Fine Hall 214
We will show how studying v1periodic homotopy groups of SU(n) led to the following question. Let f(n) denote the sum of the reciprocals of the binomial coefficients (n choose i). For which padic integers x does the sequence f(x_n) approach a padic limit? Here x_n are the partial sums for x. The answer when p is odd is quite simple, but when p=2 is complicated and not completely understood.