Pollicott, Mark and Sharp, Richard. (2008) Addendum: an analogue of Artin reciprocity for closed orbits of skew products. Ergodic Theory and Dynamical Systems, Vol.28 (No.2). pp. 547-552. ISSN 0143-3857

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Abstract

One of the unfulfilled aims of the authors of the preceding paper [W. Parry and M. Pollicott. An analogue of Bauer’s theorem for closed orbits of skew products. Ergod. Th. & Dynam. Sys. 28 (2008), 535–546] was to find a dynamical analogue of Artin reciprocity. In this addendum, we present one such version, suggested by work of Sunada.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Artin algebras, Reciprocity theorems, Algebraic number theory -- Problems, exercises, etc., Differentiable dynamical systems, Galois theory
Journal or Publication Title:	Ergodic Theory and Dynamical Systems
Publisher:	Cambridge University Press
ISSN:	0143-3857
Date:	7 April 2008
Volume:	Vol.28
Number:	No.2
Page Range:	pp. 547-552
Identification Number:	10.1017/S0143385707000569
Status:	Peer Reviewed
Access rights to Published version:	Open Access
References:	[1] Cassels, J. W. S. and Frolich, A.. Algebraic Number Theory. Academic Press, New York, 1967. [2] Lenstra, H. and Stevenhagen, P.. Artin reciprocity and Mersenne primes. Nieuw Arch. Wiskd. (5) 1 (2000), 44–54. [3] Parry, W. and Pollicott, M.. The Chebotarov theorem for Galois coverings of Axiom A flows. Ergod. Th. & Dynam. Sys. 6 (1986), 133–148. [4] Parry, W. and Pollicott, M.. An analogue of Bauer’s theorem for closed orbits of skew products. Ergod. Th. & Dynam. Sys. 28 (2008), 535–546. [5] Sunada, T.. Tchebotarev’s density theorem for closed geodesics in a compact locally symmetric space of negative curvature. Preprint.
URI:	http://wrap.warwick.ac.uk/id/eprint/674

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