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Product expansions for zeta functions attached to locally symmetric spaces of higher rank

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Publication:1919615
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DOI10.1215/S0012-7094-96-08203-4zbMath0864.58050MaRDI QIDQ1919615

Anton Deitmar

Publication date: 5 September 1996

Published in: Duke Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

zeta functionlocally symmetric spacesEuler productlocally symmetric space


Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)




Cites Work

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  • \(L^ 2\)-index and the Selberg trace formula
  • Zeta functions of Selberg's type associated with homogeneous vector bundles
  • Analytic torsion and closed geodesics on hyperbolic manifolds
  • Spectra of compact locally symmetric manifolds of negative curvature
  • Zeta-functions for expanding maps and Anosov flows
  • \(R\)-torsion and zeta functions for locally symmetric manifolds
  • Higher torsion zeta functions
  • R-torsion and the Laplacian on Riemannian manifolds
  • On the Selberg trace formula in the case of compact quotient




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