Year: 2026
Type: preprint
Abstract: In this paper, we study the infinite reciprocal cubic sum $\sum_{k=n}^{\infty}\frac{1}{B_k^3}$ of balancing numbers. We obtain explicit bounds for this sum and use them to determine the integer part of its reciprocal.
Source: arXiv (Cornell University)
Institutions: VIT-AP University, KIIT University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214758209