3 papers
math.NT2020
On the -generalized Fibonacci numbers with negative indices
Attila Pethő
In these notes we study the -generalized Fibonacci sequences - - with positive and negative indices. Denote its characteristic polynomial. Our m…
math.NT2018
Number systems over general orders
Jan-Hendrik Evertse, Kálmán Győry, Attila Pethő +1
Let be an order, that is a commutative ring with whose additive structure is a free -module of finite rank. A generalized number system (GNS for short…
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…