For which p-adic integers x can Sum_k binomial(x,k)^(-1) be defined?

Donald M. Davis

Let f(n)= Sum binomial(n,k)^(-1). First, we show that f:N to Q_p is nowhere continuous in the p-adic topology. If x is a p-adic integer, we say that f(x) is p-definable if lim f(x_…