On b-repdigits as products or sums of Fibonacci, Pell, balancing and Jacobsthal numbers
Abstract
Let b ≥ 2 be an integer.In this paper, we study the repdigits in base b that can be expressed as sums or products of Fibonacci, Pell, balancing and Jacobsthal numbers.The proofs of our main theorems use lower bounds for linear forms in logarithms of algebraic numbers and a version of the Baker-Davenport reduction method.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Advanced Mathematical Theories and Applications
Analytic Number Theory Research
Publication details
- Journal / source
- Rad Hrvatske akademije znanosti i umjetnosti Matematičke znanosti
- Volume
- 30
- Pages
- 35–49
- Publication date
- 1 January 2026
- Language
- HR