40 citations · 178 across the 39 of their papers we have counts for
41 papers
Analysis of Regular Sequences: Summatory Functions and Divide-and-Conquer Recurrences
Clemens Heuberger, Daniel Krenn, Tobias Lechner
In the asymptotic analysis of regular sequences as defined by Allouche and Shallit, it is usually advisable to study their summatory function because the original sequence has a to…
Stabilization of associated prime ideals of monomial ideals -- Bounding the copersistence index
Clemens Heuberger, Jutta Rath, Roswitha Rissner
The sequence of associated primes of powers of a monomial ideal in a polynomial ring eventually stabilizes by a known result…
The distribution of the maximum protection number in simply generated trees
Clemens Heuberger, Sarah J. Selkirk, Stephan Wagner
The protection number of a vertex in a tree is the length of the shortest path from to any leaf contained in the maximal subtree where is the root. In this paper, we de…
Enumeration of Generalized Dyck Paths Based on the Height of Down-Steps Modulo
Clemens Heuberger, Sarah J. Selkirk, Stephan Wagner
For fixed non-negative integers , , and , with , a -Dyck path of length is a lattice path that starts at , ends at , stays weakly…
A Note on the Relation between Recognisable Series and Regular Sequences, and their Minimal Linear Representations
Clemens Heuberger, Daniel Krenn, Gabriel F. Lipnik
In this note, we precisely elaborate the connection between recognisable series (in the sense of Berstel and Reutenauer) and -regular sequences (in the sense of Allouche and Sha…
Asymptotic Analysis of q-Recursive Sequences
Clemens Heuberger, Daniel Krenn, Gabriel F. Lipnik
For an integer , a -recursive sequence is defined by recurrence relations on subsequences of indices modulo some powers of~. In this article, -recursive sequences a…