Functional equations of Selberg and Ruelle zeta functions for non-unitary twists

DOI10.1007/s10455-020-09715-8zbMath1450.58010arXiv1507.05947OpenAlexW3031424619MaRDI QIDQ784496

Polyxeni Spilioti

Publication date: 3 August 2020

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.05947

zbMATH Keywords

eta invariantfunctional equationsSelberg zeta functiondynamical zeta functionsdeterminant formula

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Eta-invariants, Chern-Simons invariants (58J28) Geodesic flows in symplectic geometry and contact geometry (53D25) Flows related to mean curvature (53E10)

Related Items (4)

Ruelle zeta functions of hyperbolic manifolds and Reidemeister torsion ⋮ Analytic torsion, dynamical zeta function, and the Fried conjecture for admissible twists ⋮ Analytic Torsion and Dynamical Flow:A Survey on the Fried Conjecture ⋮ Twisted Ruelle zeta function at zero for compact hyperbolic surfaces

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