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Zeta Regularizations |
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| Authors: | Nobushige Kurokawa Masato Wakayama |
| Affiliation: | (1) Department of Mathematics, Tokyo Institute of Technology, Oh-okayama Meguro, Tokyo, 152-0033, Japan;(2) Faculty of Mathematics, Kyushu University, Hakozaki Fukuoka, 812-8581, Japan |
| Abstract: | We survey our work on various generalizations of the usual zeta regularized product and their applications. For construction of functions having a certain invariance and a given set of zeros, so-called the zeta regularization method is quite useful. We exhibit several examples and discuss some questions. |
| Keywords: | Riemann zeta function Selberg zeta function zeta regularized product theta functions multiple gamma function q-gamma function |
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