5 papers
A Local Limit Theorem for Integer Partitions into Small Powers
Gabriel F. Lipnik, Manfred G. Madritsch, Robert F. Tichy
The investigation of partitions of integers plays an important role in combinatorics and number theory. Among the many variations, partitions into powers were of recent int…
Irreducibility properties of Carlitz' binomial coefficients for algebraic function fields
Robert Tichy, Daniel Windisch
We study the class of univariate polynomials , introduced by Carlitz, with coefficients in the algebraic function field over the finite field …
On the asymptotic behaviour of the zeros of solutions of one functional-differential equation with rescaling
Gregory Derfel, Peter J. Grabner, Robert F. Tichy
We study the asymptotic behaviour of the solutions of a functional- differential equation with rescaling, the so-called pantograph equation. From this we derive asymptotic informat…
Computable Absolutely Pisot Normal Numbers
Manfred G. Madritsch, Adrian-Maria Scheerer, Robert F. Tichy
We analyze the convergence order of an algorithm producing the digits of an absolutely normal number. Furthermore, we introduce a stronger concept of absolute normality by allowing…
Measure density for set decompositions and uniform distribution
Maria Rita Iacò, Milan Paštéka, Robert F. Tichy
The aim of this paper is to extend the concept of measure density introduced by Buck for finite unions of arithmetic progressions, to arbitrary subsets of N defined by a given syst…