A Note on the Relation Between Fixed Point and Orbit Count Sequences
Michael Baake and Natascha Neumärker
Fakultät für Mathematik
Universität Bielefeld
Postfach 100131
33501 Bielefeld
Germany
Abstract:
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.
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(Concerned with sequences
A000007
A000012
A000203
A001001
A038991
A038992
A038993
A038994
A038995
A038996
A038997
A038998
A038999 and
A153038.)
Received December 23 2008;
revised version received May 6 2009.
Published in Journal of Integer Sequences, May 12 2009.
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