Congruences for Bernoulli, Euler, and Stirling Numbers Original Research Article

We use properties of p-adic integrals and measures to obtain congruences for higher-order Bernoulli and Euler numbers and polynomials, as well as for certain generalizations and for Stirling numbers of the second kind. These congruences are analogues and generalizations of the usual Kummer congruences for the ordinary Bernoulli numbers.