Geodesic
A note on the relation between fixed point and orbit count sequences
Journal of integer sequences, Tome 12 (2009) no. 4
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},
     year = {2009},
     volume = {12},
     number = {4},
     zbl = {1259.37006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2009__12_4_a4/}
}
TY  - JOUR
AU  - Baake,  Michael
AU  - Neumärker,  Natascha
TI  - A note on the relation between fixed point and orbit count sequences
JO  - Journal of integer sequences
PY  - 2009
VL  - 12
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/JIS_2009__12_4_a4/
LA  - en
ID  - JIS_2009__12_4_a4
ER  - 
%0 Journal Article
%A Baake,  Michael
%A Neumärker,  Natascha
%T A note on the relation between fixed point and orbit count sequences
%J Journal of integer sequences
%D 2009
%V 12
%N 4
%U http://geodesic.mathdoc.fr/item/JIS_2009__12_4_a4/
%G en
%F JIS_2009__12_4_a4
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/