Volume 32 ▶ Number 1 (Online First)
- Volume opened: 1 February 2026
- Status: In progress
A note on periodic linear recurrence relations
Original research paper. Pages 1–4
József Bukor
Full paper (PDF, 173 Kb) | Abstract
We provide an elementary proof of the fact that a sequence defined by a linear recurrence relation with integer coefficients is periodic if and only if all characteristic roots are distinct roots of unity. Additionally, we discuss the case in which the coefficients of the recurrence relation are restricted to the set {–1,0,1}.
Note on the irrationality of certain infinite series
Original research paper. Pages 5–14
Pavel Rucki
Full paper (PDF, 213 Kb) | Abstract
The aim of this paper is to introduce new criteria for real infinite series that satisfy a specific property and yield an irrational sum. These criteria are based on an extension of previous ideas proposed by Erdős. The paper includes several illustrative examples.
This volume of the International Journal “Notes on Number Theory and Discrete Mathematics” is published with the financial support of the Bulgarian National Science Fund, Grant Ref. No. KP-06-NP7/2/03.12.2025. Bulgarian National Science Fund bears no liability for the content of the published materials.
Volume 32 ▶ Number 1 (Online First)
