Asymptotic normality of additive functions on polynomial sequences in canonical number systems
Number Theory
2010-10-20 v1
Abstract
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 these functions. The presented result is an extension and generalization of a result of Bassily and K\'atai to number systems defined in a quotient ring of the ring of polynomials over the integers.
Keywords
Cite
@article{arxiv.1010.3928,
title = {Asymptotic normality of additive functions on polynomial sequences in canonical number systems},
author = {Manfred G. Madritsch and Attila PethHö},
journal= {arXiv preprint arXiv:1010.3928},
year = {2010}
}
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17 pages