Mertens' theorem for toral automorphisms

Jaidee, Sawian, Stevens, Shaun and Ward, Thomas (2011) Mertens' theorem for toral automorphisms. Proceedings of the American Mathematical Society, 139 (5). pp. 1819-1824.

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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
Faculty \ School:	Faculty of Science > School of Mathematics
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics Faculty of Science > Research Groups > Number Theory (former - to 2017)
Related URLs:	http://arxiv.org/abs/0801.2082
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:44
Last Modified:	15 May 2023 00:03
URI:	https://ueaeprints.uea.ac.uk/id/eprint/21080
DOI:	10.1090/S0002-9939-2010-10632-9

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