Baake, Michael; Neumärker, Natascha

A note on the relation between fixed point and orbit count sequences

J. Integer Seq. 12(4), Article ID 09.4.4, 12 p., electronic only (2009)

Summary

Summary: The relation between fixed point and orbit count sequences is investigated from the point of view of linear mappings on the space of arithmetic functions. Spectral and asymptotic properties are derived and several quantities are explicitly given in terms of Gaussian binomial coefficients.

Mathematics Subject Classification

37A45, 11A25

Keywords/Phrases

dynamical systems, M$\ddot $obius inversion, arithmetic functions, spectra, asymptotics

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