M. Madritsch

collaborators

2 papers

math.NT2019

The level of distribution of the sum-of-digits function of linear recurrence number systems

Manfred G. Madritsch, Jörg M. Thuswaldner

Let $G = (G_{j})_{j \geq 0}$ be a strictly increasing linear recurrent sequence of integers with $G_{0} = 1$ having characteristic polynomial $X^{d} - a_{1} X^{d - 1} - \dots - a_{d - 1} X - a_{d}$ . It is we…

math.NT2010

Asymptotic normality of additive functions on polynomial sequences in canonical number systems

Manfred G. Madritsch, Attila PethHö

The objective of this paper is the study of functions which only act on the digits of an expansion. In particular, we are interested in the asymptotic distribution of the values of…