3 papers
math.CO2018
Esthetic Numbers and Lifting Restrictions on the Analysis of Summatory Functions of Regular Sequences
Clemens Heuberger, Daniel Krenn
When asymptotically analysing the summatory function of a -regular sequence in the sense of Allouche and Shallit, the eigenvalues of the sum of matrices of the linear representa…
math.CO2018
Reducing Simply Generated Trees by Iterative Leaf Cutting
Benjamin Hackl, Clemens Heuberger, Stephan Wagner
We consider a procedure to reduce simply generated trees by iteratively removing all leaves. In the context of this reduction, we study the number of vertices that are deleted afte…
math.CO2018
Analysis of Summatory Functions of Regular Sequences: Transducer and Pascal's Rhombus
Clemens Heuberger, Daniel Krenn, Helmut Prodinger
The summatory function of a -regular sequence in the sense of Allouche and Shallit is analysed asymptotically. The result is a sum of periodic fluctuations for eigenvalues of ab…