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Regularized product expressions of higher Riemann zeta functions
Authors:Tetsuya Momotani
Affiliation:Graduate School of Mathematics, Kyushu University 6-10-1, Hakozaki Fukuoka 812-8581, Japan
Abstract:As a generalization of recent work by Kurokawa, Matsuda, and Wakayama (2004) we introduce a higher Riemann zeta function for an abstract sequence. Then we explicitly determine its regularized product expression.

Keywords:Riemann's zeta function   multiple gamma functions   regularized products
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