A brief survey of the zeta function regularization and multiplicative anomaly
issues when the associated zeta function of fluctuation operator is the regular
at the origin (regular case) as well as when it is singular at the origin
(singular case) is presented. In the singular case, new results for the
multiplicative anomaly are presentedComment: 10 pages, submitted to the volume "Cosmology, Quantum Vacuum, and
Zeta Functions", in honour of Professor Emilio Elizalde on the occasion of
his 60th birthda