Note on the irrationality of certain infinite series
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.
Fields of Study & Subjects
Analytic Number Theory Research
Advanced Mathematical Identities
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- Notes on Number Theory and Discrete Mathematics
- Volume
- 32
- Issue
- 1
- Pages
- 5–14
- Publication date
- 12 February 2026
- Language
- EN