The conumerator
Number Theory
2021-09-17 v5
Abstract
In this paper, we answer the question: "what is the qth Fibonacci number, where q is a positive rational?". The answer is the codenominator function, which is an integral-valued map. It is defined via a pair of functional equations. Many Fibonacci identities in the literature are valid for the codenominator. It is related to the recently introduced involution Jimm and to the outer automorphism of PGL(2,Z)
Cite
@article{arxiv.1811.01881,
title = {The conumerator},
author = {A. Muhammed Uludağ and Buket Eren Gökmen},
journal= {arXiv preprint arXiv:1811.01881},
year = {2021}
}