10 citations · 74 across the 27 of their papers we have counts for
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Asymptotic Analysis of Regular Sequences
Clemens Heuberger, Daniel Krenn
In this article, -regular sequences in the sense of Allouche and Shallit are analysed asymptotically. It is shown that the summatory function of a regular sequence can asymptoti…
On the minimal Hamming weight of a multi-base representation
Daniel Krenn, Vorapong Suppakitpaisarn, Stephan Wagner
Given a finite set of bases , , \dots, (integers greater than ), a multi-base representation of an integer~ is a sum with summands $db_1^{α_1}b_2^{α_2} \cdots…
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…
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…