Simplicial $d$-Polytopic Numbers Defined on Generalized Fibonacci Polynomials
Combinatorics
2025-01-22 v1 Number Theory
Abstract
In this article, we introduce the simplicial -polytopic numbers defined on generalized Fibonacci polynomials. We establish basic identities and find -identities known. Furthermore, we find generating functions for the simplicial -polytopic numbers and for the squares of the generalized triangular numbers. Finally, we compute sums of reciprocals of generalized Fibonacci polynomials and generalized triangular numbers. Here we introduce the Zeta function defined on generalized Fibonacci polynomials.
Cite
@article{arxiv.2501.11490,
title = {Simplicial $d$-Polytopic Numbers Defined on Generalized Fibonacci Polynomials},
author = {Ronald Orozco López},
journal= {arXiv preprint arXiv:2501.11490},
year = {2025}
}
Comments
arXiv admin note: text overlap with arXiv:2408.08943