Resumen de Bernoulli numbers, Hurwitz numbers, p-adic L-functions and Kummer's criterion
Let K = Q(_p) and let hp be its class number. Kummer showed that p divides hp if and only if p divides the numerator of some Bernoulli number. In this expository note we discuss the generalizations of this type of criterion to totally real fields and quadratic imaginary fields.
