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Communications in Mathematical Physics

, Volume 130, Issue 3, pp 581–597 | Cite as

Determinants of Laplace-like operators on Riemann surfaces

  • J. Bolte
  • F. Steiner
Article

Abstract

We calculate determinants of second order partial differential operators defined on Riemann surfaces of genus greater than one using a relation between Selberg's zeta function and functional determinants. In addition, we perform a calculation of these determinants directly using Selberg's trace formula, and compare our results with previous computations which followed the latter route.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Differential Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • J. Bolte
    • 1
  • F. Steiner
    • 1
  1. 1.II. Institut für Theoretische PhysikUniversität HamburgHamburg 50Federal Republic of Germany

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