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Asymptotics of the determinant of the discrete Laplacian on the circle

Abstract

We compute the coefficients of the terms with non negative powers of the asymptotic expansion of the determinant of the discrete Laplace operator of the de Rham complex of the circle associated to any orthogonal representation of the fundamental group.

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Acknowledgements

The author thanks the referee for his comments and remarks.

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Correspondence to M. Spreafico.

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Spreafico, M. Asymptotics of the determinant of the discrete Laplacian on the circle. Rev Mat Complut 31, 237–245 (2018). https://doi.org/10.1007/s13163-017-0233-6

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  • DOI: https://doi.org/10.1007/s13163-017-0233-6

Keywords

  • Zeta determinant
  • Discrete Laplace operator
  • Asymptotic expansion

Mathematics Subject Classification

  • 58J52