Selberg type zeta function for the Hilbert modular group of a real quadratic field

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Abstract

In this article we announce fundamental results of Selberg type zeta functions for the Hilbert modular group of a real quadratic field; the meromorphic extension over C, its functional equation and some arithmetic applications.

Original languageEnglish
Pages (from-to)145-148
Number of pages4
JournalProceedings of the Japan Academy Series A: Mathematical Sciences
Volume88
Issue number9
DOIs
Publication statusPublished - Dec 1 2012

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Real Quadratic Fields
Modular Group
Meromorphic
Riemann zeta function
Hilbert
Functional equation

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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