Archiv der Mathematik

, Volume 95, Issue 4, pp 363–372 | Cite as

Partial zeta functions

  • Yasufumi Hashimoto


In the present paper, we study analytic properties of the zeta functions defined by the Euler products over elements in subsets of the set of prime elements.

Mathematics Subject Classification (2000)

Primary: 11S40 Secondary: 11R42 11M36 


Euler product Analytic continuation Natural boundary Dedekind zeta function Selberg zeta function Ihara zeta function 


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Authors and Affiliations

  1. 1.Institute of Systems and Information Technologies/KyushuFukuokaJapan

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