L. Carlitz [Arch. Math. 7, 28-33 (1956; Zbl 0070.04003)] introduced the ‘degenerate’ Bernoulli numbers by means of the generating function
He also proved an analogue of the Staudt-Clausen theorem for these numbers, and he showed that is a polynomial in of degree .
In the paper under review the author gives explicit formulas for the coefficients of the polynomial and thereby an alternative proof of the Staudt-Clausen theorem, including some new recursion formulas for .