On numbers with fixed last digits of linear recurrent base expansion

A. V. Shutov

Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences

Abstract: We study some properties of natural numbers with fixed last digits of linear recurrent base expansion. Using the theory of Rauzy fractals we describe possible densities of such numbers and possible first differences between them.

Key words: linear recurrent base expansion, last digits, densities, first differences, Rauzy fractals.

UDC: 511.3

MSC: Primary 11B37; Secondary 11A63, 11K16

Received: 04.09.2023
Accepted: 14.11.2023

DOI: 10.47910/FEMJ202413