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Abstracts

Abstracts

Mertens' theorem for toral automorphisms

Sawian Jaidee, Shaun Stevens, Tom Ward
Preprint (January 2008), Proc. Amer. Math. Soc., to appear. dvi pdf arXiv

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.

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