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Zeta Regularizations

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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.

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Authors and Affiliations

  1. Department of Mathematics, Tokyo Institute of Technology, Oh-okayama Meguro, Tokyo, 152-0033, Japan

    Nobushige Kurokawa

  2. Faculty of Mathematics, Kyushu University, Hakozaki Fukuoka, 812-8581, Japan

    Masato Wakayama

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  1. Nobushige Kurokawa
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  2. Masato Wakayama
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Kurokawa, N., Wakayama, M. Zeta Regularizations. Acta Applicandae Mathematicae 81, 147–166 (2004). https://doi.org/10.1023/B:ACAP.0000024207.37694.3b

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