Ruelle zeta function and prime geodesic theorem for hyperbolic manifolds with cusps

Jinsung Park

Type: Book-Chapter

Publication Date: 2010-10-14

Citations: 22

DOI: https://doi.org/10.1515/9783110226133.89

View Publication

Locations

De Gruyter eBooks - View

Similar Works

Action	Title	Year	Authors
+	The zeta functions of Ruelle and Selberg for hyperbolic manifolds with cusps	2009	Yasuro Gon Jinsung Park
+	Analytic torsion and Ruelle zeta functions for hyperbolic manifolds with cusps	2009	Jinsung Park
+ PDF Chat	Ruelle zeta function for odd dimensional hyperbolic manifolds with cusps	2008	Yasuro Gon Jinsung Park
+ PDF Chat	Cheeger–Müller theorem on manifolds with cusps	2018	Boris Vertman
+	A Cheeger-Muller theorem for manifolds with cusps	2016	David A. Sher
+	Prime geodesic theorem for hyperbolic 3-manifolds: general cofinite cases	2004	Maki Nakasuji
+	PROPORTIONALITY PRINCIPLE FOR CUSPED MANIFOLDS	2007	Thilo Kuessner
+	Closed geodesics in homology classes on hyperbolic manifolds with cusps	1997	Martine Babillot Marc Peigné
+	Cusp closing of hyperbolic manifolds	1996	Sergei Buyalo V. L. Kobel'skii
+	Cusp ends of hyperbolic manifolds	1985	Boris N. Apanasov
+	Hyperbolic metrics, Selberg zeta functions and Arakelov theory for punctured Riemann surfaces	1998	Lin Weng
+	Hyperbolic cusp forms and spectral simplicity on compact hyperbolic surfaces	1994	Lizhen Ji Steven Zelditch
+ PDF Chat	Analytic torsions for hyperbolic manifolds with cusps	2007	Jinsung Park
+ PDF Chat	The Bridgeman–Kahn identity for hyperbolic manifolds with cusped boundary	2017	Nicholas G. Vlamis Andrew Yarmola
+	Hyperbolic manifolds and special values of Dedekind zeta-functions	1986	Don Zagier
+	CUSP OPENINGS IN COMPLEX HYPERBOLIC GEOMETRY (Hyperbolic Spaces and Related Topics)	1999	定吉小島
+	CUSP OPENINGS IN COMPLEX HYPERBOLIC GEOMETRY (Hyperbolic Spaces and Related Topics)	1999	Sadayoshi Kojima
+	Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps	2018	Viviane Baladi
+	Dynamical Zeta Functions and Closed Orbits for Geodesic and Hyperbolic Flows	2007	Mark Pollicott
+	Dynamical Zeta Functions and Closed Orbits for Geodesic and Hyperbolic Flows	2006	Mark Pollicott

Works That Cite This (22)

Action	Title	Year	Authors
+	Order of zeta functions for compact even-dimensional symmetric spaces	2016	Muharem Avdispahić Dž Gušić D. Kamber
+ PDF Chat	Gallagherian $PGT$ on $PSL(2,\mathbb{Z})$	2017	Muharem Avdispahić
+	Prime geodesic theorem of Gallagher type	2017	Muharem Avdispahić
+	On Some Classical andWeighted Estimates for SL4	2020	Dženan Gušić
+	Gallagherian Prime Geodesic Theorem in Higher Dimensions	2019	Muharem Avdispahić Zenan Šabanac
+	On the Error Terms of Chebyshev Functions for SL4	2020	Dženan Gušić
+	On the Prime Geodesic Theorem for SL4	2020	Dženan Gušić
+	On refinements of rank one Gallagherian prime geodesic theorems	2020	Dženan Gušić
+	On von Koch Theorem for PSL(2,$$\mathbb {Z}$$)	2020	Muharem Avdispahić
+	Distribution of the zeta functions singularities for compact even-dimensional locally symmetric spaces	2014	Muharem Avdispahić Dženan Gušić

Works Cited by This (18)

Action	Title	Year	Authors
+ PDF Chat	Zeta functions of Selberg’s type for some noncompact quotients of symmetric spaces of rank one	1980	Ramesh Gangolli Garth Warner
+	Prime geodesic theorem for higher-dimensional hyperbolic manifold	2006	Maki Nakasuji
+ PDF Chat	Homology of closed geodesics in a negatively curved manifold	1987	Toshiaki Adachi Toshikazu Sunada
+ PDF Chat	The zeta functions of Ruelle and Selberg. I	1986	David Fried
+	Spectral Theory of Automorphic Functions and Its Applications	1990	Alexei B. Venkov
+ PDF Chat	The length spectra of some compact manifolds of negative curvature	1977	Ramesh Gangolli
+ PDF Chat	The Distribution of Prime Numbers	1933	A. E. Ingham
+	Asymptotics for closed geodesics in a homology class, the finite volume case	1987	Charles L. Epstein
+	Geodesics in homology classes	1987	Ralph S. Phillips Peter Sarnak
+	The zeta functions of Ruelle and Selberg for hyperbolic manifolds with cusps	2009	Yasuro Gon Jinsung Park