English

On identities concerning integer parts

Number Theory 2025-02-12 v2

Abstract

In 2007 V. Zhuravlev discovered a family of identities concerning integer parts which are satisfied by the number 5+12\frac{\sqrt{5}+1}{2}. Some of these identities turned out to be characterization properties of the number 5+12\frac{\sqrt{5}+1}{2}. In this paper we generalize the simplest of these identities.

Cite

@article{arxiv.2410.10402,
  title  = {On identities concerning integer parts},
  author = {Zichang Wang and Chengyang Wu and Bohan Yang},
  journal= {arXiv preprint arXiv:2410.10402},
  year   = {2025}
}

Comments

Final version to appear in Combinatorics and Number Theory

R2 v1 2026-06-28T19:20:26.100Z