Geodesic
A note on the relation between fixed point and orbit count sequences
Journal of integer sequences, Tome 12 (2009) no. 4.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 37A45, 11A25
Keywords: dynamical systems, M$\ddot $obius inversion, arithmetic functions, spectra, asymptotics 
@article{JIS_2009__12_4_a4,
     author = {Baake, Michael and Neum\"arker, Natascha},
     title = {A note on the relation between fixed point and orbit count sequences},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2009__12_4_a4/}
}
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Baake, Michael; Neumärker, Natascha. A note on the relation between fixed point and orbit count sequences. Journal of integer sequences, Tome 12 (2009) no. 4. http://geodesic.mathdoc.fr/item/JIS_2009__12_4_a4/