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.

	Other (mertens.dvi) Download (27kB)
Preview	PDF (mertens.pdf) Download (168kB) | Preview

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 (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024) Faculty of Science > Research Groups > Number Theory (former - to 2017) Faculty of Science > Research Groups > Algebra, Logic & Number Theory
Related URLs:	http://arxiv.org/abs/0801.2082
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:44
Last Modified:	07 Nov 2024 12:32
URI:	https://ueaeprints.uea.ac.uk/id/eprint/21080
DOI:	10.1090/S0002-9939-2010-10632-9

Downloads

Actions (login required)

View Item