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Mertens' theorem for toral automorphisms | | S. Jaidee
; S. Stevens
; T. Ward
; | | Date: |
14 Jan 2008 | | Abstract: | We give an elementary proof of the dynamical Mertens’ theorem for toral
automorphisms, improving the error terms in the hyperbolic case to
$igo(N^{-k})$ for any $kge1$. In the quasihyperbolic case the error term is
improved to $igo(N^{-1})$, and the coefficient in the main term coming from
the eigenvalues of unit modulus is examined. In particular, the influence of
resonances among these eigenvalues is described. | | Source: | arXiv, 0801.2082 | | Services: | Forum | Review | PDF | Favorites | |
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