Open Access
Sept. 2002 Zeta extensions
Nobushige Kurokawa, Masato Wakayama
Proc. Japan Acad. Ser. A Math. Sci. 78(7): 126-130 (Sept. 2002). DOI: 10.3792/pjaa.78.126


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.


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Nobushige Kurokawa. Masato Wakayama. "Zeta extensions." Proc. Japan Acad. Ser. A Math. Sci. 78 (7) 126 - 130, Sept. 2002.


Published: Sept. 2002
First available in Project Euclid: 23 May 2006

zbMATH: 1015.11043
MathSciNet: MR1930216
Digital Object Identifier: 10.3792/pjaa.78.126

Primary: 11M35 , 11M36

Keywords: Euler product , Functional equations , Riemann's zeta function , Selberg's zeta function

Rights: Copyright © 2002 The Japan Academy

Vol.78 • No. 7 • Sept. 2002
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