On identities concerning integer parts
Zichang Wang, C.-Y. Wu, Bohan Yang · Combinatorics and Number Theory · 2024
In 2007 V. Zhuravlev discovered a family of identities concerning integer parts which are satisfied by the number $\frac{\sqrt{5}+1}{2}$. Some of these identities turned out to be characterization properties of the number $\frac{\sqrt{5}+1}{2}$. In this paper we generalize the simplest of these identities.