Explicit formula for the hyperbolic scattering determinant

DOI10.1007/s10114-005-0791-2zbMath1192.11055OpenAlexW2059553210WikidataQ57621902 ScholiaQ57621902MaRDI QIDQ2641555

Muharem Avdispahić, Lejla Smajlovic

Publication date: 20 August 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0791-2

zbMATH Keywords

explicit formulashyperbolic scattering determinant

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Dirichlet series, exponential series and other series in one complex variable (30B50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Closed geodesics and the \(\eta\)-invariant
• Basic analysis of regularized series and products
• On Cramér's theorem for general Euler products with functional equation
• Extension of analytic number theory and the theory of regularized harmonic series from Dirichlet series to Bessel series
• Explicit formula for a fundamental class of functions
• An explicit formula and its application to the Selberg trace formula
• On A. Weil's explicit formula.

This page was built for publication: Explicit formula for the hyperbolic scattering determinant