The divisor of Selberg's zeta function for Kleinian groups

By S. Patterson, Peter Perry, A. A, C. Epstein. 2001

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Generalization of Selberg’s $$ \frac{3}{{16}} $$ theorem and affine sieve (2011, background): “8 in [2]), and the correspondence between the zeros of Selberg’s zeta function and resonances (see [26] and Chapter 10 in [2]).”
Selberg's zeta function and the spectral geometry of geometrically finite hyperbolic surfaces (2003, background): “Setting Ls = 1 2s− 1 d ds , for convenience, we begin by differentiating the definition of ΦX(s) and separating the traces: Ls ( ΦX(s) 2s− 1 ) = − 0-trRX(s) 2 + 0-trRH(s) 2.”
The renormalized volume and the volume of the convex core of quasifuchsian manifolds (2011, background): “The fact that the metric has constant curvature makes it possible to give an explicit description of the geometry of the leaves of an equidistant foliation, see [13].”
Expanding maps on Cantor sets and analytic continuation of zeta functions (2005, background): “Notice that this result is obvious if δ > 1 2 since by [29] the only possible zeros of ZM (s) in the half plane {Re(s) > 1 2} are real and related to the (finite) point spectrum of ∆ in (0, 1 4).”
Scattering matrix in conformal geometry (2001, background): “D G ] 1 4 Se p 20 01 SCATTERING MATRIX IN CONFORMAL GEOMETRY C. ROBIN GRAHAM AND MACIEJ ZWORSKI”