Note On the Irrationality of the L-Function Constants L(s, X)
  A unified proof of the irrationality of the special values L(n, X), n > 1 an integer, of the beta L-function is put forward in this note. The first case of n = 2 seems to confirm that the Catalan constant L(2, X) is an irrational number. 
N. A. Carella
math.NT