Partition function on spheres: How to use zeta function regularization

@article{Monin2016PartitionFO,
  title={Partition function on spheres: How to use zeta function regularization},
  author={Alexander Monin},
  journal={Physical Review D},
  year={2016},
  volume={94},
  pages={085013}
}
  • A. Monin
  • Published 19 July 2016
  • Mathematics
  • Physical Review D
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. 
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