Mertens' theorem for toral automorphisms

Details Mertens' theorem for toral automorphisms Mertens' theorem for toral automorphisms

2008-01-14

arxiv.org/abs/0801.2082v4

Mathematics

Dynamical Systems

Revised

Scientific paper

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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