Valuations and combinatorics of truncated exponential sums
A conjecture of G. McGarvey for the 2-adic valuation of the Schenker sums is established. These sums are n! times the sum of the first n+1 terms of the series for e^n. A certain analytic expression for the p-adic valuation of these sums is provided for a class of primes. Some combinatorial interpretations (using rooted trees) are furnished for identities that arose along the way.
