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Zeta determinant of the Laplacian on the real projective spaces

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Publication:4628667
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DOI10.1142/S1793042119500192zbMath1441.11233MaRDI QIDQ4628667

Mauro Spreafico, Luiz Hartmann

Publication date: 15 March 2019

Published in: International Journal of Number Theory (Search for Journal in Brave)


zbMATH Keywords

Riemann zeta functionoperator determinantoperator zeta functionregularized zeta determinants


Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Determinants and determinant bundles, analytic torsion (58J52)


Related Items

Regularized determinant of the Laplacian on forms over spheres ⋮ Explicit descriptions of spectral properties of Laplacians on spheres \(\mathbb{S}^N\) \((N\ge 1)\): a review



Cites Work

  • Unnamed Item
  • Spectra and eigenforms of the Laplacian on \(S^n\) and \(P^n(C)\)
  • Zeta regularized determinant of the Laplacian for classes of spherical space forms
  • Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
  • THE SPECTRAL ZETA FUNCTION OF THE UNIT n-SPHERE AND AN INTEGRAL TREATED BY RAMANUJAN
  • The determinant of the Laplacian on the n-sphere
  • Determinants of Laplacians, the Ray–Singer torsion on lens spaces and the Riemann zeta function
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