Determinants of Laplacians

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Abstract

The determinant of the Laplacian on spinor fields on a Riemann surface is evaluated in terms of the value of the Selberg zeta function at the middle of the critical strip. A key role in deriving this relation is played by the Barnes double gamma function.

Original languageEnglish (US)
Pages (from-to)113-120
Number of pages8
JournalCommunications In Mathematical Physics
Volume110
Issue number1
DOIs
StatePublished - Mar 1987
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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