EUDML

Currently displaying 1 – 18 of 18

Order by Relevance | Title | Year of publication

Zwei metrische Verebungssätze in der Theorie der Gleichverteilung.

Michael Drmota — 1987

Monatshefte für Mathematik

The joint distribution of q-additive functions

Michael Drmota — 2001

Acta Arithmetica

Irregularities of continuous distributions

Michael Drmota — 1989

Annales de l'institut Fourier

This paper deals with a continuous analogon to irregularities of point distributions. If a continuous fonction $x : [0, 1] \to X$ where $X$ is a compact body, is interpreted as a particle’s movement in time, then the discrepancy measures the difference between the particle’s stay in a proper subset and the volume of the subset. The essential part of this paper is to give lower bounds for the discrepancy in terms of the arc length of $x (t)$ , $0 \leq t \leq 1$ . Furthermore it is shown that these estimates are the best possible despite of...

Sign-changes of the Thue-Morse Fractal Function and Dirichlet L-Series.

Michael Drmota; Mariusz Skalba — 1995

Manuscripta mathematica

The distribution of the sum-of-digits function

Michael Drmota; Johannes Gajdosik — 1998

Journal de théorie des nombres de Bordeaux

By using a generating function approach it is shown that the sum-of-digits function (related to specific finite and infinite linear recurrences) satisfies a central limit theorem. Additionally a local limit theorem is derived.

The Zeckendorf expansion of polynomial sequences

Michael Drmota; Wolfgang Steiner — 2002

Journal de théorie des nombres de Bordeaux

In the first part of the paper we prove that the Zeckendorf sum-of-digits function $s_{z} (n)$ and similarly defined functions evaluated on polynomial sequences of positive integers or primes satisfy a central limit theorem. We also prove that the Zeckendorf expansion and the $q$ -ary expansions of integers are asymptotically independent.

Relations between polynomial roots

Michael Drmota; Mariusz Skałba — 1995

Acta Arithmetica

Relations between polynomial roots

Michael Drmota; Mariusz Skałba — 1995

Acta Arithmetica

The joint distribution of $Q$ -additive functions on polynomials over finite fields

Michael Drmota; Georg Gutenbrunner — 2005

Journal de Théorie des Nombres de Bordeaux

Let $K$ be a finite field and $Q \in K [T]$ a polynomial of positive degree. A function $f$ on $K [T]$ is called (completely) $Q$ -additive if $f (A + B Q) = f (A) + f (B)$ , where $A, B \in K [T]$ and $deg (A) < deg (Q)$ . We prove that the values $(f_{1} (A), ..., f_{d} (A))$ are asymptotically equidistributed on the (finite) image set ${(f_{1} (A), ...,$ $f_{d} (A)) : A \in K [T]}$ if $Q_{j}$ are pairwise coprime and $f_{j} : K [T] \to K [T]$ are $Q_{j}$ -additive. Furthermore, it is shown that $(g_{1} (A), g_{2} (A))$ are asymptotically independent and Gaussian if $g_{1}, g_{2} : K [T] \to ℝ$ are $Q_{1}$ - resp. $Q_{2}$ -additive.

$C$ -uniform distribution of entire functions

Michael Drmota; Robert F. Tichy — 1988

Rendiconti del Seminario Matematico della Università di Padova

A combinatorial inequality. (Eine kombinatorische Ungleichung.)

Drmota, Michael — 1987

Séminaire Lotharingien de Combinatoire [electronic only]

Kernels and Grundy functions on trees. (Kerne und Grundyfunktionen auf Bäumen.)

Drmota, Michael — 1991

Séminaire Lotharingien de Combinatoire [electronic only]

Block additive functions on the Gaussian integers

Michael Drmota; Peter J. Grabner; Pierre Liardet — 2008

Acta Arithmetica

On a mixed Littlewood conjecture in Diophantine approximation

Yann Bugeaud; Michael Drmota; Bernard de Mathan — 2007

Acta Arithmetica

Automatic sequences generated by synchronizing automata fulfill the Sarnak conjecture

Jean-Marc Deshouillers; Michael Drmota; Clemens Müllner — 2015

Studia Mathematica

We prove that automatic sequences generated by synchronizing automata satisfy the full Sarnak conjecture. This is of particular interest, since Berlinkov proved recently that almost all automata are synchronizing.