On identities concerning integer parts

Autor: Wang, Zichang, Wu, Chengyang, Yang, Bohan
Rok vydání: 2024
Předmět:
Zdroj: Comb. Number Th. 13 (2024), 317--332
Druh dokumentu: Working Paper
DOI: 10.2140/cnt.2024.13.317
Popis: 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.
Comment: Final version to appear in Combinatorics and Number Theory
Databáze: arXiv