M. Madritsch

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20102026

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math.NT2026

Waring's problem for pseudo-polynomials

Manfred G. Madritsch

Waring's problem has a long history in additive number theory. In its original form it deals with the representability of every positive integer as sum of $k$ -th powers with intege…

math.NT2025

On Finite Pseudorandom Binary Sequences: Generalized polynomials

Manfred G. Madritsch, Robert F. Tichy

In the present paper we generate binary pseudorandom sequences using generalized polynomials. A generalized polynomial is a function in whose description we not only allow addition…

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…