41 citations · 121 across the 26 of their papers we have counts for
35 papers
The joint distribution of binary and ternary digits sums
Michael Drmota, Lukas Spiegelhofer
We consider the sum-of-digits functions and in bases and . These functions just return the minimal numbers of powers of two (resp. three) needed in order to repr…
Chordal graphs with bounded tree-width
Jordi Castellví, Michael Drmota, Marc Noy +1
Given and , we prove that the number of labelled -connected chordal graphs with vertices and tree-width at most is asymptotically $c n^{-5/2} γ^…
Universal asymptotic properties of positive functional equations with one catalytic variable
Michael Drmota, Eva-Maria Hainzl
Functional equations with one catalytic appear in several combinatorial applications, most notably in the enumeration of lattice paths and in the enumeration of planar maps. The ma…
Synchronizing automatic sequences along Piatetski-Shapiro sequences
Jean-Marc Deshouillers, Michael Drmota, Clemens Müllner +2
The purpose of this paper is to study subsequences of synchronizing -automatic sequences along Piatetski-Shapiro sequences with non-integer . I…
Random cubic planar maps
Michael Drmota, Marc Noy, Clément Requilé +1
We analyse uniform random cubic rooted planar maps and obtain limiting distributions for several parameters of interest. From the enumerative point of view, we present a unified ap…
Primes as sums of Fibonacci numbers
Michael Drmota, Clemens Müllner, Lukas Spiegelhofer
The purpose of this paper is to discuss the relationship between prime numbers and sums of Fibonacci numbers. One of our main results says that for every sufficiently large integer…