• Corpus ID: 231728692

Spectral zeta-Functions and zeta-Regularized Functional Determinants for Regular Sturm-Liouville Operators

  title={Spectral zeta-Functions and zeta-Regularized Functional Determinants for Regular Sturm-Liouville Operators},
  author={Guglielmo Fucci and Fritz Gesztesy and Klaus Kirsten and J. Stanfill},
The principal aim in this paper is to employ a recently developed unified approach to the computation of traces of resolvents and ζ-functions to efficiently compute values of spectral ζ-functions at positive integers associated to regular (three-coefficient) self-adjoint Sturm–Liouville differential expressions τ . Depending on the underlying boundary conditions, we express the ζ-function values in terms of a fundamental system of solutions of τy = zy and their expansions about the spectral… 

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