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Mertens' theorem for toral automorphisms.

Jaidee, S. and Stevens, S. and Ward, T. (2011) 'Mertens' theorem for toral automorphisms.', Proceedings of the American Mathematical Society., 139 (05). pp. 1819-1824.

Abstract

A dynamical Mertens' theorem for ergodic toral automorphisms with error term O(N^{-1}) is found, and the influence of resonances among the eigenvalues of unit modulus is examined. Examples are found with many more, and with many fewer, periodic orbits than expected.

Item Type:Article
Full text:PDF - Accepted Version (294Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1090/S0002-9939-2010-10632-9
Publisher statement:First published in Transactions of the American Mathematical Society in 2011, volume 139 published by the American Mathematical Society. © Copyright 2011 American Mathematical Society.
Record Created:12 Oct 2012 09:50
Last Modified:14 Dec 2012 14:02

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