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Partition function on spheres: how (not) to use zeta function regularization

It is known that not all summation methods are linear and stable. Zeta function regularization is in general non-linear. 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.

preprint2016arXivOpen access
A. Monin
math-phmath.MPhep-th
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