Communications in Number Theory and Physics

Volume 3 (2009)

Number 4

The double Riemann zeta function

Pages: 619 – 653



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


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

Published 1 January 2009