In the book, quantum fields in curved space, when calculating the vacuum energy divergence for scalar fields, it reads: $$sum_{mathbf k}omega/2=(L^2/4pi)^{(n-1)/2}frac 1 {Gamma ((n-1)/2)} int_0^infty (k^2+m^2)^{1/2}k^{n-2}dk .$$ This divergence can be usefully analyzed by performing...