Zeta regularization for UV divergences ?

[zetafunction]

Zeta regularization for UV divergences ??

I know that zeta regularization makes sense but is this paper correct ?

http://arxiv.org/ftp/arxiv/papers/0906/0906.2418.pdf

watched on arxiv by a chance, there are 2 sections the 'divergent integral' treatment by using zeta regularization is on section 2

 

[zetafunction]

http://www.scribd.com/doc/9650858 provided the same results.

i am not an expert but i think he is taking divergent series in order to obtain finite results is this acceptable ??