## Partition function on spheres: How to use zeta function regularization

It is known that not all summation methods are linear and stable. Zeta function regularization is in general nonlinear. However, in some cases formal manipulations with zeta function regularization (assuming linearity of sums) lead to correct results. We consider several examples and show why this happens.

Published in:
Physical Review D, 94, 8, 085013
Year:
2016
Publisher:
College Pk, Amer Physical Soc
ISSN:
2470-0010
Laboratories: