Proceedings of the Japan Academy, Series A, Mathematical Sciences

Zeta extensions

Nobushige Kurokawa and Masato Wakayama

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In the papers [KW2, KW3] we introduced and studied a new type of the Selberg zeta function called by a higher Selberg zeta function. We have established the analytic properties, especially the functional equation of the higher Selberg zeta functions in [KW3]. Motivated by this study of higher Selberg zeta functions we formulate the problem for general zeta functions which have the Euler products and discuss their general features.

Article information

Proc. Japan Acad. Ser. A Math. Sci. Volume 78, Number 7 (2002), 126-130.

First available in Project Euclid: 23 May 2006

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Zentralblatt MATH identifier

Primary: 11M35: Hurwitz and Lerch zeta functions 11M36: Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. Explicit formulas

Riemann's zeta function Selberg's zeta function Euler product functional equations


Kurokawa, Nobushige; Wakayama, Masato. Zeta extensions. Proc. Japan Acad. Ser. A Math. Sci. 78 (2002), no. 7, 126--130. doi:10.3792/pjaa.78.126.

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