Communications in Number Theory and Physics

Volume 3 (2009)

Number 4

The double Riemann zeta function

Pages: 619 – 653

DOI: http://dx.doi.org/10.4310/CNTP.2009.v3.n4.a2

Author

Hirotaka Akatsuka (Department of Mathematics, Tokyo Institute of Technology, Tokyo, Japan)

Abstract

In 1992 Deninger showed a version of explicit formulas for the Riemann zeta function. In this paper, we establish a duplication of Deninger’s explicit formula in the sense of the absolute tensor product due to Kurokawa. As an application, we obtain an Euler product expression for the double Riemann zeta function constructed from the absolute tensor product of the Riemann zeta function

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