@article{ASENS_1986_4_19_4_491_0,
author = {Fried, David},
title = {The zeta functions of Ruelle and Selberg. I},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
publisher = {Elsevier},
volume = {Ser. 4, 19},
number = {4},
year = {1986},
pages = {491-517},
doi = {10.24033/asens.1515},
zbl = {0609.58033},
mrnumber = {88k:58134},
language = {en},
url = {http://www.numdam.org/item/ASENS_1986_4_19_4_491_0}
}
Fried, David. The zeta functions of Ruelle and Selberg. I. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 19 (1986) no. 4, pp. 491-517. doi : 10.24033/asens.1515. http://www.numdam.org/item/ASENS_1986_4_19_4_491_0/
[A] , Geodesic flows on closed Riemannian manifolds of negative curvature (Proc. Steklov Inst. Math., Vol. 90, 1967). | MR 36 #7157 | Zbl 0176.19101
[AB] and , Notes on the Lefschetz fixed point theorem for elliptic complexes, Harvard, 1964. | Zbl 0161.43101
[AW] and , Similarity of automorphisms of the torus (Mem. AMS, Vol. 98, 1970). | MR 41 #1966 | Zbl 0195.06104
[BT] and , Differential forms in algebraic topology, Springer GTM 82, 1982. | MR 83i:57016 | Zbl 0496.55001
[B1] , Symbolic dynamics for hyperbolic flows (Amer. J. Math., Vol. 95, 1973, pp. 429-460). | MR 49 #4041 | Zbl 0282.58009
[B2] , On Axiom A diffeomorphisms (CBMS Reg. Conf. 35, AMS, Providence, 1978). | MR 58 #2888 | Zbl 0383.58010
[Bo] , Entire functions, Academic Press, 1954. | MR 16,914f | Zbl 0058.30201
[E] , Opera omnia, Teubner, 1922.
[Fr1] , Anosov diffeomorphisms (Proc. Symp. Pure Math., Vol. 14, AMS, Providence 1970, pp. 133-164). | MR 42 #6871 | Zbl 0207.54304
[Fr2] , Homology and dynamical systems (CBMS Reg. Conf., Vol. 49, AMS, Providence, 1982). | MR 84f:58067 | Zbl 0497.58018
[F1] , Homological identities for closed orbits (Inv. Math., Vol. 71, 1984, pp. 419-442). | MR 84g:58088 | Zbl 0512.58023
[F2] , Fuchsian groups and Reidemeister torsion (Contemp. Math., Vol. 53, 1986, pp. 141-163). | MR 88e:58098 | Zbl 0597.10027
[F3] , Efficiency vs. hyperbolicity on tori, (Springer LNM, Vol. 819, 1980, pp. 175-189). | MR 82b:58065 | Zbl 0455.58021
[F4] , Anosov foliations and cohomology (Erg. Th. & Dyn. Syst., Vol. 6, 1986, pp. 9-16). | MR 87h:58172 | Zbl 0602.57017
[F5] , Analytic torsion and closed geodesics on hyperbolic manifolds. (Inv. Math., Vol. 84, 1986, pp. 523-540). | MR 87g:58118 | Zbl 0621.53035
[F6] , Torsion and closed geodesics on complex hyperbolic manifolds, preprint.
[G] , Zeta functions of Selberg's type for compact space forms of symmetric spaces of rank one (Ill. J. Math, Vol. 21, 1977, pp. 1-41). | MR 58 #5524 | Zbl 0354.33013
[G-F] and , Geodesic flows on manifolds of constant negative curvature (Usp. Mat. Nauk., Vol. 7, 1952, pp. 118-137, and AMS Translations, Vol. 1, 1955, pp. 49-65). | Zbl 0066.36101
[Gr1] , La théorie de Fredholm (Bull. Soc. Math. France, Vol. 84, 1956, pp. 319-384). | Numdam | MR 19,558d | Zbl 0073.10101
[Gr2] , Espaces Nucléaires (Mem. AMS, Vol. 16, Providence, 1955).
[H] , The Selberg trace formula for PSL (2, R), Springer LNM, Vol. 548, 1976 and Vol. 1001, 1983. | MR 55 #12641 | Zbl 0543.10020
[HPS] , and , Invariant manifolds, Springer LNM, Vol. 583, 1977. | MR 58 #18595 | Zbl 0355.58009
[HR] and , The general theory of Dirichlet series, Cambridge, 1952.
[Ma1] , Axiom A diffeomorphisms have rational zeta functions (Bull. London Math. Soc., Vol. 3, 1971, pp. 215-220). | MR 44 #5982 | Zbl 0219.58007
[Ma2] , Anosov diffeomorphisms on nilmanifolds (Proc. AMS, Vol. 38, 1973, pp. 423-426). | MR 49 #8059 | Zbl 0242.58004
[M] , Closed geodesics and the ƞ-invariant (Annals of Math., Vol. 108, 1978, pp. 1-39). | MR 58 #18620 | Zbl 0399.58020
[PPo] and , An analogue of the prime number theorem for closed orbits of Axiom A flows (Annals of Math., Vol. 118, 1983, pp. 573-592). | MR 85i:58105 | Zbl 0537.58038
[Po] , Meromorphic extensions of generalized zeta functions (Inv. Math., Vol. 85, 1986, pp. 147-164). | MR 87k:58218 | Zbl 0604.58042
[Ra1] , On the asymptotic distribution of closed geodesics on compact Riemann surfaces (Trans. AMS, Vol. 233, 1977, p. 241-247). | MR 58 #2643
[Ra2] , The Selberg trace formula, Chapter XI in Eigenvalues in Riemannian geometry, Academic Press, 1984.
[R] , Markov decomposition for an Y-flow on a three-dimensional manifold (Math. Notes, Vol. 6, pp. 880-886). | MR 41 #5597 | Zbl 0198.56804
[RS] and , Analytic torsion for complex manifolds (Annals of Math., Vol. 98, 1973, pp. 154-177). | MR 52 #4344 | Zbl 0267.32014
[R1] , Zeta functions for expanding maps and Anosov flows (Inv. Math., Vol. 34, 1976, pp. 231-242). | MR 54 #8732 | Zbl 0329.58014
[R2] , Thermodynamic formalism, Addison-Wesley, Reading, 1978. | MR 80g:82017 | Zbl 0401.28016
[Sa] , The arithmetic and geometry of some hyperbolic three manifolds (Acta Math., Vol. 151, 1983, pp. 253-295). | MR 85d:11061 | Zbl 0527.10022
[Sc] , Selberg type zeta functions for the group of complex two by two matrices of determinant one (Math. Ann., Vol. 253, 1980, pp. 177-194). | MR 82e:10050 | Zbl 0449.22013
[S] , Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series (J. Indian Math. Soc., Vol. 20, 1956, pp. 47-87). | MR 19,531g | Zbl 0072.08201
[Si] , Construction of Markov partitions (Func. Anal. Appl., Vol. 2, 1968, pp. 70-80). | Zbl 0194.22602
[Sm] , Differentiable dynamical systems (Bull. AMS, Vol. 73, 1967, pp. 747-817). | MR 37 #3598 | Zbl 0202.55202
[T1] , Anosov flows on infra-homogeneous spaces (Proc. Symp. Pure Math, T. 14, Providence, 1970, pp. 299-327). | MR 43 #5552 | Zbl 0207.54502
[T2] , On the classification of Anosov flows (Topology, Vol. 14, 1975, pp. 179-189). | MR 51 #14161 | Zbl 0365.58013
[W] , Zeta functions of Selberg's type associated with homogeneous vector bundles (Hiroshima Math. J., Vol. 15, 1985, pp. 235-295). | MR 86m:22026 | Zbl 0592.22012
